다각수
예 > 평면도형수

주어진 자연수  3\leq m\leq 30에 대하여,  m각수는 다음과 같다.
|  m | 명칭 |  \operatorname {Pol} (m;n) | 처음 20항 ( 0\leq n\leq 19) | OEIS |
| --- | --- | --- | --- | --- |
| 3 | 삼각수 |  n(n+1)/2 | 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, ... | A000217 |
| 4 | 정사각수 |  n^{2} | 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, ... | A000290 |
| 5 | 오각수 |  n(3n-1)/2 | 0, 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, 176, 210, 247, 287, 330, 376, 425, 477, 532, ... | A000326 |
| 6 | 육각수 |  n(2n-1) | 0, 1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378, 435, 496, 561, 630, 703, ... | A000384 |
| 7 | 칠각수(七角數, 영어: heptagonal number) |  n(5n-3)/2 | 0, 1, 7, 18, 34, 55, 81, 112, 148, 189, 235, 286, 342, 403, 469, 540, 616, 697, 783, 874, ... | A000566 |
| 8 | 팔각수 |  n(3n-2) | 0, 1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936, 1045, | A000567 |
| 9 | 구각수(九角數, 영어: nonagonal number) |  n(7n-5)/2 | 0, 1, 9, 24, 46, 75, 111, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1089, 1216, ... | A001106 |
| 10 | 십각수(十角數, 영어: decagonal number) |  n(4n-3) | 0, 1, 10, 27, 52, 85, 126, 175, 232, 297, 370, 451, 540, 637, 742, 855, 976, 1105, 1242, 1387, ... | A001107 |
| 11 | 십일각수(十一角數, 영어: hendecagonal number) |  n(9n-7)/2 | 0, 1, 11, 30, 58, 95, 141, 196, 260, 333, 415, 506, 606, 715, 833, 960, 1096, 1241, 1395, 1558, ... | A051682 |
| 12 | 십이각수(十二角數, 영어: dodecagonal number) |  n(5n-4) | 0, 1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 793, 924, 1065, 1216, 1377, 1548, 1729, ... | A051624 |
| 13 | 십삼각수(十三角數, 영어: tridecagonal number) |  n(11n-9)/2 | 0, 1, 13, 36, 70, 115, 171, 238, 316, 405, 505, 616, 738, 871, 1015, 1170, 1336, 1513, 1701, 1900, ... | A051865 |
| 14 | 십사각수(十四角數, 영어: tetradecagonal number) |  n(6n-5) | 0, 1, 14, 39, 76, 125, 186, 259, 344, 441, 550, 671, 804, 949, 1106, 1275, 1456, 1649, 1854, 2071, ... | A051866 |
| 15 | 십오각수(十五角數, 영어: pentadecagonal number) |  n(13n-11)/2 | 0, 1, 15, 42, 82, 135, 201, 280, 372, 477, 595, 726, 870, 1027, 1197, 1380, 1576, 1785, 2007, 2242, ... | A051867 |
| 16 | 십육각수(十六角數, 영어: hexadecagonal number) |  n(7n-6) | 0, 1, 16, 45, 88, 145, 216, 301, 400, 513, 640, 781, 936, 1105, 1288, 1485, 1696, 1921, 2160, 2413, ... | A051868 |
| 17 | 십칠각수(十七角數, 영어: heptadecagonal number) |  n(15n-13)/2 | 0, 1, 17, 48, 94, 155, 231, 322, 428, 549, 685, 836, 1002, 1183, 1379, 1590, 1816, 2057, 2313, 2584, ... | A051869 |
| 18 | 십팔각수(十八角數, 영어: octadecagonal number) |  n(8n-7) | 0, 1, 18, 51, 100, 165, 246, 343, 456, 585, 730, 891, 1068, 1261, 1470, 1695, 1936, 2193, 2466, 2755, ... | A051870 |
| 19 | 십구각수(十九角數, 영어: nonadecagonal number) |  n(17n-15)/2 | 0, 1, 19, 54, 106, 175, 261, 364, 484, 621, 775, 946, 1134, 1339, 1561, 1800, 2056, 2329, 2619, 2926, ... | A051871 |
| 20 | 이십각수(二十角數, 영어: Icosagonal number) |  n(9n-8) | 0, 1, 20, 57, 112, 185, 276, 385, 512, 657, 820, 1001, 1200, 1417, 1652, 1905, 2176, 2465, 2772, 3097, ... | A051872 |
| 21 | 이십일각수(二十一角數, 영어: icosihenagonal number) |  n(19n-17)/2 | 0, 1, 21, 60, 118, 195, 291, 406, 540, 693, 865, 1056, 1266, 1495, 1743, 2010, 2296, 2601, 2925, 3268, ... | A051873 |
| 22 | 이십이각수(二十二角數, 영어: icosidigonal number) |  n(10n-9) | 0, 1, 22, 63, 124, 205, 306, 427, 568, 729, 910, 1111, 1332, 1573, 1834, 2115, 2416, 2737, 3078, 3439, ... | A051874 |
| 23 | 이십삼각수(二十三角數, 영어: icositrigonal number) |  n(21n-19)/2 | 0, 1, 23, 66, 130, 215, 321, 448, 596, 765, 955, 1166, 1398, 1651, 1925, 2220, 2536, 2873, 3231, 3610, ... | A051875 |
| 24 | 이십사각수(二十四角數, 영어: icositetragonal number) |  n(11n-10) | 0, 1, 24, 69, 136, 225, 336, 469, 624, 801, 1000, 1221, 1464, 1729, 2016, 2325, 2656, 3009, 3384, 3781, ... | A051876 |
| 25 | 이십오각수(二十五角數, 영어: icosipentagonal number) |  n(23n-21)/2 | 0, 1, 25, 72, 142, 235, 351, 490, 652, 837, 1045, 1276, 1530, 1807, 2107, 2430, 2776, 3145, 3537, 3952, ... | A255184 |
| 26 | 이십육각수(二十六角數, 영어: icosihexagonal number) |  n(12n-11) | 0, 1, 26, 75, 148, 245, 366, 511, 680, 873, 1090, 1331, 1596, 1885, 2198, 2535, 2896, 3281, 3690, 4123, ... | A255185 |
| 27 | 이십칠각수(二十七角數, 영어: icosiheptagonal number) |  n(25n-23)/2 | 0, 1, 27, 78, 154, 255, 381, 532, 708, 909, 1135, 1386, 1662, 1963, 2289, 2640, 3016, 3417, 3843, 4294, ... | A255186 |
| 28 | 이십팔각수(二十八角數, 영어: icosioctagonal number) |  n(13n-12) | 0, 1, 28, 81, 160, 265, 396, 553, 736, 945, 1180, 1441, 1728, 2041, 2380, 2745, 3136, 3553, 3996, 4465, ... | A161935 |
| 29 | 이십구각수(二十九角數, 영어: icosinonagonal number) |  n(27n-25)/2 | 0, 1, 29, 84, 166, 275, 411, 574, 764, 981, 1225, 1496, 1794, 2119, 2471, 2850, 3256, 3689, 4149, 4636, ... | A255187 |
| 30 | 삼십각수(三十角數, 영어: triacontagonal number) |  n(14n-13) | 0, 1, 30, 87, 172, 285, 426, 595, 792, 1017, 1270, 1551, 1860, 2197, 2562, 2955, 3376, 3825, 4302, 4807, ... | A254474 |