==Formula and sequence==The maximum number "p" of pieces that can be created with a given number of cuts "n", where "n" ≥ 0, is given by the formula:formula_1Using binomial coefficients, the formula can be expressed as:formula_2This sequence , starting with formula_3, results in:1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, ...Each number equals 1 plus a triangular number.
* a(0) = 1* a(1) = 2* a(2) = 4* a(3) = 7* a(n) = n * (n + 1)/2 + 1Эта числовая , начинается с formula_1, выражается:1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, ...Каждое число этой последовательности равно 1 плюс треугольное число.