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A321955 Column k=10 of triangle A257673.

%I A321955 #10 Jan 31 2021 08:11:21
%S A321955 1,30,465,4990,41820,292296,1775075,9629800,47604225,217630430,
%T A321955 930607321,3755443890,14405010340,52827550470,186123730845,
%U A321955 632552752322,2080824994210,6644958372540,20652164516930,62605166996300,185464736482827,537841680016510,1529116657680575
%N A321955 Column k=10 of triangle A257673.
%H A321955 Alois P. Heinz, <a href="/A321955/b321955.txt">Table of n, a(n) for n = 10..5000</a>
%F A321955 G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^10. - _Ilya Gutkovskiy_, Jan 31 2021
%p A321955 b:= proc(n, k) option remember; `if`(n=0, 1, k*add(
%p A321955       b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)
%p A321955     end:
%p A321955 a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(10):
%p A321955 seq(a(n), n=10..35);
%Y A321955 Column k=10 of A257673.
%K A321955 nonn
%O A321955 10,2
%A A321955 _Alois P. Heinz_, Nov 22 2018