Is there a way of writing summation(s) to obtain the extended binomial coefficients?(adsbygoogle = window.adsbygoogle || []).push({});

i.e., Considering the expansion of [tex](1+x+x^2+x^3+...+x^N)^M[/tex]

can we write expressions (presumably involving summation and/or product notation) for the coefficients (on x^j in the expansion of the above, for each integer j from j=0 to j=NM, i.e. each of the NM+1 non-0 coefficients) without expanding the polynomial by hand?

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# I Summation for extended binomial coefficients

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