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binomial -- binomial coefficient

Synopsis

Usage:
binomial(n,k)
Inputs:
- n, an integer
- k, an integer, , must be non-negative
Outputs:
- an integer, the binomial coefficient, the coefficient of x^k in (1+x)^n

Description

i1 : binomial(13,6)

o1 = 1716

i2 : binomial(-1,3)

o2 = -1

Caveat

Doesn't do polynomials, things like binomial(x,3) where x is an element of a ring other than ZZ

Ways to use `binomial` :

binomial(ZZ,ZZ)