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A321953 Column k=8 of triangle A257673.

%I A321953 #10 Jan 31 2021 08:11:04
%S A321953 1,24,300,2624,18126,105552,539408,2485016,10518477,41482336,
%T A321953 154055260,543239064,1830924554,5929728456,18534968236,56121729792,
%U A321953 165117049094,473276306552,1324582728412,3626879184272,9732325392280,25631811881168,66342981204768
%N A321953 Column k=8 of triangle A257673.
%H A321953 Alois P. Heinz, <a href="/A321953/b321953.txt">Table of n, a(n) for n = 8..5000</a>
%F A321953 G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^8. - _Ilya Gutkovskiy_, Jan 31 2021
%p A321953 b:= proc(n, k) option remember; `if`(n=0, 1, k*add(
%p A321953       b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)
%p A321953     end:
%p A321953 a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(8):
%p A321953 seq(a(n), n=8..35);
%Y A321953 Column k=8 of A257673.
%K A321953 nonn
%O A321953 8,2
%A A321953 _Alois P. Heinz_, Nov 22 2018