open-index/open-wikipedia-markdown huggingface dataset:
Z14821

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14821"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14815",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z14815(Z14815K1):\n\t# all known Wieferich numbers:\n\t# https://oeis.org/A077816/b077816.txt\n\tlist = [1093,\n\t\t\t3279,\n\t\t\t3511,\n\t\t\t7651,\n\t\t\t10533,\n\t\t\t14209,\n\t\t\t17555,\n\t\t\t22953,\n\t\t\t31599,\n\t\t\t42627,\n\t\t\t45643,\n\t\t\t52665,\n\t\t\t68859,\n\t\t\t94797,\n\t\t\t99463,\n\t\t\t127881,\n\t\t\t136929,\n\t\t\t157995,\n\t\t\t228215,\n\t\t\t298389,\n\t\t\t410787,\n\t\t\t473985,\n\t\t\t684645,\n\t\t\t895167,\n\t\t\t1232361,\n\t\t\t2053935,\n\t\t\t2685501,\n\t\t\t3697083,\n\t\t\t3837523,\n\t\t\t6161805,\n\t\t\t11512569,\n\t\t\t18485415,\n\t\t\t19187615,\n\t\t\t26862661,\n\t\t\t34537707,\n\t\t\t49887799,\n\t\t\t57562845,\n\t\t\t80587983,\n\t\t\t103613121,\n\t\t\t134313305,\n\t\t\t149663397,\n\t\t\t172688535,\n\t\t\t241763949,\n\t\t\t249438995,\n\t\t\t310839363,\n\t\t\t349214593,\n\t\t\t402939915,\n\t\t\t448990191,\n\t\t\t518065605,\n\t\t\t648541387,\n\t\t\t725291847,\n\t\t\t748316985,\n\t\t\t1047643779,\n\t\t\t1208819745,\n\t\t\t1346970573,\n\t\t\t1554196815,\n\t\t\t1746072965,\n\t\t\t1945624161,\n\t\t\t2175875541,\n\t\t\t2244950955,\n\t\t\t3142931337,\n\t\t\t3242706935,\n\t\t\t3626459235,\n\t\t\t4040911719,\n\t\t\t4539789709,\n\t\t\t5238218895,\n\t\t\t5836872483,\n\t\t\t6527626623,\n\t\t\t6734852865,\n\t\t\t9428794011,\n\t\t\t9728120805,\n\t\t\t10879377705,\n\t\t\t12122735157,\n\t\t\t13619369127,\n\t\t\t15714656685,\n\t\t\t17510617449,\n\t\t\t20204558595,\n\t\t\t22698948545,\n\t\t\t28286382033,\n\t\t\t29184362415,\n\t\t\t32638133115,\n\t\t\t40858107381,\n\t\t\t47143970055,\n\t\t\t52531852347,\n\t\t\t60613675785,\n\t\t\t68096845635,\n\t\t\t84859146099,\n\t\t\t87553087245,\n\t\t\t122574322143,\n\t\t\t141431910165,\n\t\t\t157595557041,\n\t\t\t204290536905,\n\t\t\t254577438297,\n\t\t\t262659261735,\n\t\t\t367722966429,\n\t\t\t424295730495,\n\t\t\t612871610715,\n\t\t\t787977785205,\n\t\t\t1103168899287,\n\t\t\t1272887191485,\n\t\t\t1838614832145,\n\t\t\t3309506697861,\n\t\t\t5515844496435,\n\t\t\t16547533489305]\n\treturn Z14815K1 in list"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is Wieferich number, python (complete list)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "est-ce un nombre de Wieferich ?, en Python (1)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist Wieferich-Zahl in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "liste complète"
            }
        ]
    }
}
Z14847

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14847"
    },
    "Z2K2": {
        "Z1K1": "Z8",
        "Z8K1": [
            "Z17",
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z14847K1",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "n"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "eriri"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "n"
                        }
                    ]
                }
            },
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z14847K2",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "k"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "k"
                        }
                    ]
                }
            }
        ],
        "Z8K2": "Z13518",
        "Z8K3": [
            "Z20",
            "Z14849",
            "Z14850",
            "Z14851"
        ],
        "Z8K4": [
            "Z14",
            "Z14853",
            "Z14848"
        ],
        "Z8K5": "Z14847"
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Narayana number"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "Nọmba Narayana"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Narayana-Zahl"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "N(n,k)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "N(n,k)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "N(n,k)"
            }
        ]
    }
}
Z14854

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14854"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z13955",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z13955(Z13955K1):\n\timport math\n\tphi = 0\n\tfor k in range(1, Z13955K1+1):\n\t\tif math.gcd(Z13955K1, k) == 1: phi += 1\n\treturn phi"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Euler totient function, python (using math.gcd)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "indicatrice d'Euler, en Python (1)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Eulersche Phi-Funktion in Python mit math.gcd"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "utilisation de la fonction math.gcd"
            }
        ]
    }
}
Z14857

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14857"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z13612",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z13612(Z13612K1, Z13612K2):\n\timport math\n\treturn math.gcd(Z13612K1, Z13612K2)"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "GCD, python (using math.gcd)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "plus grand commun diviseur, en Python (2)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "größter gemeinsamer Teiler in Python mit math.gcd"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "return the result from the math.gcd function"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "renvoie le résultat grâce à la fonction math.gcd"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "gibt das Ergebnis der Funktion math.gcd aus"
            }
        ]
    }
}
Z14863

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14863"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14859",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z14859(Z14859K1, Z14859K2):\n\tdef D(m,n):\n\t\tif m == 0 or n == 0:\n\t\t\treturn 1\n\t\telse:\n\t\t\treturn D(m-1,n) + D(m-1,n-1) + D(m,n-1)\n\t\n\treturn D(Z14859K1, Z14859K2)"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Delannoy number, python (recursive relation)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "nombre de Delannoy, en Python (2)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Delannoy-Zahl in Python, rekursiv"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "relation récursive"
            }
        ]
    }
}
Z14846

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14846"
    },
    "Z2K2": {
        "Z1K1": "Z20",
        "Z20K1": "Z10927",
        "Z20K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z10927",
            "Z10927K1": "𪛞"
        },
        "Z20K3": {
            "Z1K1": "Z7",
            "Z7K1": "Z844",
            "Z844K2": {
                "Z1K1": "Z40",
                "Z40K1": "Z41"
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "\"𪛞\" is Han character (rare, CJK Ext B, Unicode 14.0)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "\"𪛞\" ist Kanji"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14869

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14869"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14864",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z14864(Z14864K1):\n\timport math\n\tD = 0\n\tfor k in range(Z14864K1+1):\n\t\tD += math.comb(Z14864K1,k)**2 * 2**k\n\treturn D"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "central Delannoy number, python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "zentrale Delannoy-Zahl in Python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "nombre central de Delannoy, en Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14881

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14881"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14876",
        "Z14K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z13846",
            "Z13846K1": {
                "Z1K1": "Z7",
                "Z7K1": "Z13522",
                "Z13522K1": {
                    "Z1K1": "Z18",
                    "Z18K1": "Z14876K1"
                },
                "Z13522K2": {
                    "Z1K1": "Z13518",
                    "Z13518K1": "0"
                }
            },
            "Z13846K2": {
                "Z1K1": "Z13518",
                "Z13518K1": "1"
            },
            "Z13846K3": {
                "Z1K1": "Z7",
                "Z7K1": "Z13569",
                "Z13569K1": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z14864",
                    "Z14864K1": {
                        "Z1K1": "Z18",
                        "Z18K1": "Z14876K1"
                    }
                },
                "Z13569K2": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z14859",
                    "Z14859K1": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13578",
                        "Z13578K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14876K1"
                        }
                    },
                    "Z14859K2": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13582",
                        "Z13582K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14876K1"
                        }
                    }
                }
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Schröder number, composition"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "nombre de Schröder, en Composition"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Schröder-Zahl als Komposition"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14899

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14899"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z13667",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z600",
            "Z16K2": "function Z13667( Z13667K1 ) {\n\tlet result = 1n;\n\tfor (let i=1n; i\u003C=Z13667K1; i++) result *= i;\n\treturn result;\n}"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "factorial, javascript"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "factorielle, en JavaScript"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Fakultät in JavaScript"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14910

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14910"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14905",
        "Z14K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z13546",
            "Z13546K1": {
                "Z1K1": "Z7",
                "Z7K1": "Z13539",
                "Z13539K1": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z13848",
                    "Z13848K1": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13539",
                        "Z13539K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14905K2"
                        },
                        "Z13539K2": {
                            "Z1K1": "Z13518",
                            "Z13518K1": "2"
                        }
                    },
                    "Z13848K2": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13521",
                        "Z13521K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14905K1"
                        },
                        "Z13521K2": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14905K2"
                        }
                    }
                },
                "Z13539K2": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z13578",
                    "Z13578K1": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13539",
                        "Z13539K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14905K1"
                        },
                        "Z13539K2": {
                            "Z1K1": "Z13518",
                            "Z13518K1": "2"
                        }
                    }
                }
            },
            "Z13546K2": {
                "Z1K1": "Z7",
                "Z7K1": "Z13578",
                "Z13578K1": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z13521",
                    "Z13521K1": {
                        "Z1K1": "Z18",
                        "Z18K1": "Z14905K1"
                    },
                    "Z13521K2": {
                        "Z1K1": "Z18",
                        "Z18K1": "Z14905K2"
                    }
                }
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Lobb number, composition"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Lobb-Zahl als Komposition"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14911

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14911"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z13857",
        "Z14K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z14905",
            "Z14905K1": {
                "Z1K1": "Z13518",
                "Z13518K1": "0"
            },
            "Z14905K2": {
                "Z1K1": "Z18",
                "Z18K1": "Z13857K1"
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Catalan number, composition based on Lobb number"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "nombre de Catalan, en Composition (3)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Catalan-Zahl als Komposition mit Lobb-Zahl"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "composition avec le nombre de Lobb"
            }
        ]
    }
}
Z14917

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14917"
    },
    "Z2K2": {
        "Z1K1": "Z8",
        "Z8K1": [
            "Z17",
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z14917K1",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "n"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "n"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "n"
                        }
                    ]
                }
            }
        ],
        "Z8K2": "Z13518",
        "Z8K3": [
            "Z20",
            "Z14919",
            "Z14920",
            "Z14921",
            "Z14922",
            "Z14923"
        ],
        "Z8K4": [
            "Z14",
            "Z14918"
        ],
        "Z8K5": "Z14917"
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Hooley's delta function"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "Hooley's delta ọrụ"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Hooley-Deltafunktion"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31",
            {
                "Z1K1": "Z31",
                "Z31K1": "Z1002",
                "Z31K2": [
                    "Z6",
                    "Erdős-Hooley delta-function",
                    "Hooley delta function",
                    "A226898"
                ]
            }
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14938

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14938"
    },
    "Z2K2": {
        "Z1K1": "Z8",
        "Z8K1": [
            "Z17",
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z14938K1",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "number to test"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "nọmba iji nwalee"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "Zahl"
                        }
                    ]
                }
            },
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z14938K2",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "k"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "k"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "k"
                        }
                    ]
                }
            }
        ],
        "Z8K2": "Z40",
        "Z8K3": [
            "Z20",
            "Z14940",
            "Z14941",
            "Z14942",
            "Z14943"
        ],
        "Z8K4": [
            "Z14",
            "Z14944",
            "Z14939"
        ],
        "Z8K5": "Z14938"
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is k-hyperperfect number"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "bụ nọmba k-hyperfect"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist k-hyperperfekte Zahl"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14967

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14967"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14966",
        "Z14K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z10174",
            "Z10174K1": {
                "Z1K1": "Z7",
                "Z7K1": "Z12427",
                "Z12427K1": {
                    "Z1K1": "Z18",
                    "Z18K1": "Z14966K1"
                }
            },
            "Z10174K2": {
                "Z1K1": "Z7",
                "Z7K1": "Z10184",
                "Z10184K1": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z14961",
                    "Z14961K1": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13578",
                        "Z13578K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14966K1"
                        }
                    }
                },
                "Z10184K2": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z14961",
                    "Z14961K1": {
                        "Z1K1": "Z7",
                        "Z7K1": "Z13582",
                        "Z13582K1": {
                            "Z1K1": "Z18",
                            "Z18K1": "Z14966K1"
                        }
                    }
                }
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is factorial prime, composition"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "est-ce un nombre premier factoriel ?, Composition"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist Fakultätsprimzahl als Komposition"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14968

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14968"
    },
    "Z2K2": {
        "Z1K1": "Z20",
        "Z20K1": "Z14966",
        "Z20K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z14966",
            "Z14966K1": {
                "Z1K1": "Z13518",
                "Z13518K1": "2"
            }
        },
        "Z20K3": {
            "Z1K1": "Z7",
            "Z7K1": "Z844",
            "Z844K2": {
                "Z1K1": "Z40",
                "Z40K1": "Z41"
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "2 is factorial prime"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "2 est un nombre premier factoriel"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "2 ist Fakultätsprimzahl"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z14981

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z14981"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z14980",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z14980(Z14980K1):\n\t# first get all proper divisors of n\n\tn = Z14980K1\n\ti = 2\n\tdivisors = [1]\n\twhile i*i \u003C= n:\n\t\tif n%i == 0:\n\t\t\tdivisors.append(i)\n\t\t\tif i*i\u003Cn:\n\t\t\t\tdivisors.append(n//i)\n\t\ti=i+1\n\tdivisors.sort()\n\td = len(divisors)\n\n\t# check if n is semiperfect\n\tm = [0 for _ in range(n + 1)] for _ in range(d + 1)]\n\tfor i in range(d + 1): m[i][0] = 1\n\n\tfor i in range(1, d + 1):\n\t\tfor j in range(1, n + 1):\n\t\t\tif (j \u003C divisors[i-1]):\n\t\t\t\tm[i][j] = m[i-1][j]\n\t\t\telse:\n\t\t\t\tm[i][j] = m[i-1][j] or m[i-1][j-divisorsi-1\n\t\t\t\n\treturn m[d][n] == 1"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is semiperfect number, python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "est-ce un nombre semi-parfait ?, en Python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist pseudovollkommene Zahl in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15008

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15008"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15007",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15007(Z15007K1, Z15007K2, Z15007K3):\n\tdef sigma(n):\n\t\ti = 1\n\t\tresult = 0\n\t\twhile i*i \u003C= n:\n\t\t\tif n % i == 0:\n\t\t\t\tresult += i\n\t\t\t\tif i*i \u003C n:\n\t\t\t\t\tresult += n//i\n\t\t\ti += 1\n\t\treturn result\n\t\n\tn, m, k = Z15007K1, Z15007K2, Z15007K3\n\tsigma_m = n\n\tfor _ in range(m):\n\t\tsigma_m = sigma(sigma_m)\n\t\n\treturn sigma_m == k*n"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is (m,k)-perfect number, python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist (m,k)-perfekte Zahl in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15074

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15074"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15068",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15068(Z15068K1):\n\tdef b(n):\n\t\tif n == 0:\n\t\t\treturn 1\n\t\telse:\n\t\t\tm = n\n\t\t\twhile m % 4 == 0: m //= 4\n\t\t\tif m % 2 == 0:\n\t\t\t\treturn 0\n\t\t\telse:\n\t\t\t\treturn b((m-1)//2)\n\treturn b(Z15068K1)"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "nth number in Baum–Sweet sequence, python (recursive relation)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "nte Zahl in Baum-Sweet-Sequenz in Python rekursiv"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15076

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15076"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15075",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15075(Z15075K1):\n\tknownValues = {}\n\tdef P(n):\n\t\tif n == 0:\n\t\t\treturn 1\n\t\telif n == 1 or n == 2:\n\t\t\treturn 0\n\t\telif n in knownValues:\n\t\t\treturn knownValues[n]\n\t\telse:\n\t\t\tresult = P(n-2)+P(n-3)\n\t\t\tknownValues[n] = result\n\t\t\treturn result\n\treturn P(Z15075K1)"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Padovan number, python (recursive relation)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Padovan-Zahl in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15090

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15090"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15085",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15085(Z15085K1):\n\timport math\n\tk = Z15085K1 + 1\n\ta = k // 3\n\tif k % 3: a += 1\n\tb = k // 2\n\tresult = 0\n\tfor i in range(a, b + 1):\n\t\tresult += math.comb(i, k - 2 * i)\n\treturn result"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Padovan's spiral number, python (based on binomial coefficients)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Padovan-Spiralzahl in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15092

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15092"
    },
    "Z2K2": {
        "Z1K1": "Z8",
        "Z8K1": [
            "Z17",
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z15092K1",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "n"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "n"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "n"
                        }
                    ]
                }
            }
        ],
        "Z8K2": "Z13518",
        "Z8K3": [
            "Z20",
            "Z15094",
            "Z15095",
            "Z15096",
            "Z15097"
        ],
        "Z8K4": [
            "Z14",
            "Z15093"
        ],
        "Z8K5": "Z15092"
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "nth number in Kolakoski sequence"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "nọmba nth na usoro Kolakoski"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "nte Zahl in Kolakoski-Sequenz"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31",
            {
                "Z1K1": "Z31",
                "Z31K1": "Z1002",
                "Z31K2": [
                    "Z6",
                    "A000002"
                ]
            }
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15093

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15093"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15092",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15092(Z15092K1):\n\t# based on https://11011110.github.io/blog/2016/10/14/kolakoski-sequence-via.html\n\tx = y = -1\n\tfor _ in range(Z15092K1):\n\t\tk = [2, 1][x \u0026 1]\n\t\tf = y \u0026 ~(y + 1)\n\t\tx ^= f\n\t\ty = (y + 1) | (f \u0026 (x \u003E\u003E 1))\n\treturn k"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "nth number in Kolakoski sequence, python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "nte Zahl in Kolakoski-Sequenz in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15105

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15105"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15104",
        "Z14K2": {
            "Z1K1": {
                "Z1K1": "Z7",
                "Z7K1": "Z12668",
                "Z12668K1": {
                    "Z1K1": "Z7",
                    "Z7K1": "Z12668",
                    "Z12668K1": [
                        "Z1",
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K1"
                        },
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K2"
                        },
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K3"
                        },
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K4"
                        },
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K5"
                        },
                        {
                            "Z1K1": "Z18",
                            "Z18K1": "Z15104K6"
                        }
                    ]
                }
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "reverse a reversed list"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Spielwiesen-Implementierung mit kehre Liste um"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Z507K1\n\ntype\nQuote\n\nquotation\nSelect Function\n \n(\n\"Aa\"\n, \n\"Bb\"\n, \n\"Cc\"\n, \n\"Dd\"\n, \n\"Ee\"\n, \n\"Ff\"\n)"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Implementierung der Spielwiesen-Funktion mit mehreren Eingaben als Komposition"
            }
        ]
    }
}
Z15106

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15106"
    },
    "Z2K2": {
        "Z1K1": "Z20",
        "Z20K1": "Z15104",
        "Z20K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z15104",
            "Z15104K1": "A",
            "Z15104K2": "B",
            "Z15104K3": "C",
            "Z15104K4": "D",
            "Z15104K5": "E",
            "Z15104K6": "F"
        },
        "Z20K3": {
            "Z1K1": "Z7",
            "Z7K1": "Z889",
            "Z889K2": [
                "Z1",
                "A",
                "B",
                "C",
                "D",
                "E",
                "F"
            ],
            "Z889K3": "Z866"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Echo six strings to list"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Spielwiesen-Test mit \"A\", \"B\", \"C\", \"D\", \"E\", \"F\""
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Arguments after the third are unresolved except with built-in echo"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Test mit den Eingaben \"A\", \"B\", \"C\", \"D\", \"E\", \"F\""
            }
        ]
    }
}
Z15103

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15103"
    },
    "Z2K2": {
        "Z1K1": "Z20",
        "Z20K1": "Z15098",
        "Z20K2": {
            "Z1K1": "Z7",
            "Z7K1": "Z15098",
            "Z15098K1": {
                "Z1K1": "Z13518",
                "Z13518K1": "7215"
            }
        },
        "Z20K3": {
            "Z1K1": "Z7",
            "Z7K1": "Z13522",
            "Z13522K2": {
                "Z1K1": "Z13518",
                "Z13518K1": "10000"
            }
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Recamán's sequence a(7215) = 10000"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "7215. Zahl in Recamán-Sequenz"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11"
        ]
    }
}
Z15114

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15114"
    },
    "Z2K2": {
        "Z1K1": "Z14",
        "Z14K1": "Z15113",
        "Z14K3": {
            "Z1K1": "Z16",
            "Z16K1": "Z610",
            "Z16K2": "def Z15113(Z15113K1):\n\treturn (Z15113K1**2)//4"
        }
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "quarter-square Python"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Viertelquadrat in Python"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "Raises its input to the power of 2, then floor-divides that by 4"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "Python-Implementierung der Funktion zur Berechnung des Viertelquadrats"
            }
        ]
    }
}
Z15121

{
    "Z1K1": "Z2",
    "Z2K1": {
        "Z1K1": "Z6",
        "Z6K1": "Z15121"
    },
    "Z2K2": {
        "Z1K1": "Z8",
        "Z8K1": [
            "Z17",
            {
                "Z1K1": "Z17",
                "Z17K1": "Z13518",
                "Z17K2": "Z15121K1",
                "Z17K3": {
                    "Z1K1": "Z12",
                    "Z12K1": [
                        "Z11",
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1002",
                            "Z11K2": "number to test"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1014",
                            "Z11K2": "nọmba iji nwalee"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1004",
                            "Z11K2": "nombre à tester"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1787",
                            "Z11K2": "numero"
                        },
                        {
                            "Z1K1": "Z11",
                            "Z11K1": "Z1430",
                            "Z11K2": "Zahl"
                        }
                    ]
                }
            }
        ],
        "Z8K2": "Z40",
        "Z8K3": [
            "Z20",
            "Z15123",
            "Z15124",
            "Z15125"
        ],
        "Z8K4": [
            "Z14",
            "Z15122",
            "Z15126"
        ],
        "Z8K5": "Z15121"
    },
    "Z2K3": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1002",
                "Z11K2": "is odious number"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1014",
                "Z11K2": "bụ ọnụọgụgụ jọgburu onwe ya"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "est-ce un nombre odieux ?"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1787",
                "Z11K2": "è numero odioso"
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1430",
                "Z11K2": "ist abscheuliche Zahl"
            }
        ]
    },
    "Z2K4": {
        "Z1K1": "Z32",
        "Z32K1": [
            "Z31"
        ]
    },
    "Z2K5": {
        "Z1K1": "Z12",
        "Z12K1": [
            "Z11",
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1004",
                "Z11K2": "renvoie \"vrai\" si le nombre donné est un nombre odieux, sinon \"faux\""
            },
            {
                "Z1K1": "Z11",
                "Z11K1": "Z1787",
                "Z11K2": "Controlla se il numero di 1 nella rappresentazione binaria è dispari"
            }
        ]
    }
}