#!/usr/bin/env python3 from math import factorial def main(k): n = 10 ascend = binomial(n+k-1, k) descnd = sum(binomial(n+i-1, i) for i in range(1,k+1)) repeat = n*k + 1 # why 1 return ascend + descnd - repeat def binomial(n, k): return factorial(n) // (factorial(k)*factorial(n-k)) #print(main(6)) #print(main(10)) print(main(100))