Re: what is coefficients of expanding (1+x+x^2+....+x^k)^n?
From: zhora (zhora_at_univ.kiev-dot-ua.no-spam.invalid)
Date: 07/06/04
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Date: 6 Jul 2004 10:28:45 -0500
> L.P.wrote:
The formulae is well known for k=2,3,4,5..-binomial, trinomial,
> quadromial , hexanomial numbers..What is general fornulae for
> arbitrary k???
If you mean x^k "x to the power k", then the coefficient before x^j in
your expansion is equal to the number of non-negative integer
solutions to the equation j_1+...+j_k=j, the last number equals to
the binomial coefficient ((k+j-1)c(k-1)).
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