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A246244 Sum of ninth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n.

%I A246244 #6 Jan 27 2023 20:55:04
%S A246244 1,1,514,10195797,2703788516356,5361940142039062505,
%T A246244 55063667396158825603112136,2272169230481993564658922073502463,
%U A246244 312894608313254360747865383525129561090056,124773193097402414339622625011223384066643153613969
%N A246244 Sum of ninth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n.
%H A246244 Alois P. Heinz, <a href="/A246244/b246244.txt">Table of n, a(n) for n = 0..75</a>
%F A246244 a(n) = [x^n] (n!)^9 * (Sum_{j=0..n} x^j/(j!)^9)^n.
%p A246244 b:= proc(n, i) option remember; `if`(n=0 or i=1, 1,
%p A246244       add(b(n-j, i-1)*binomial(n, j)^9, j=0..n))
%p A246244     end:
%p A246244 a:= n-> b(n$2):
%p A246244 seq(a(n), n=0..15);
%Y A246244 Column k=9 of A245397.
%K A246244 nonn
%O A246244 0,3
%A A246244 _Alois P. Heinz_, Aug 19 2014