cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A321951 Column k=6 of triangle A257673.

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%I A321951 #10 Jan 30 2021 22:50:28
%S A321951 1,18,171,1158,6309,29466,122580,465738,1644516,5464892,17253369,
%T A321951 52128540,151592391,426265836,1163373243,3091338000,8018585046,
%U A321951 20348618814,50615278427,123608650182,296794147017,701525018576,1634144413185,3755097200094,8519488746222
%N A321951 Column k=6 of triangle A257673.
%H A321951 Alois P. Heinz, <a href="/A321951/b321951.txt">Table of n, a(n) for n = 6..5000</a>
%F A321951 G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^6. - _Ilya Gutkovskiy_, Jan 30 2021
%p A321951 b:= proc(n, k) option remember; `if`(n=0, 1, k*add(
%p A321951       b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)
%p A321951     end:
%p A321951 a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(6):
%p A321951 seq(a(n), n=6..35);
%Y A321951 Column k=6 of A257673.
%K A321951 nonn
%O A321951 6,2
%A A321951 _Alois P. Heinz_, Nov 22 2018