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D.2.3.4 binomial
Procedure from librarygeneral.lib (see general_lib).
- Usage:
- binomial(n,k); n,k integers
- Return:
- binomial(n,k); binomial coefficient n choose k
LIB "general.lib"; binomial(200,100);""; //type bigint ==> 90548514656103281165404177077484163874504589675413336841320 ==> int n,k = 200,100; bigint b1 = binomial(n,k); ring r = 0,x,dp; poly b2 = coeffs((x+1)^n,x)[k+1,1]; //coefficient of x^k in (x+1)^n b1-b2; //b1 and b2 should coincide ==> 0 |