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.
%I A381712 #13 Apr 02 2025 03:05:45
%S A381712 1,1,43,316,2563,17284,135843,903141,6153645,39839122,256023118,
%T A381712 1589382754,9751548710,58451287319,345478493273,2006641555356,
%U A381712 11498560570683,64940715401160,362249937059777,1995639600211016,10870475203155005,58563229198239242,312277069694594537
%N A381712 Euler transform of n * A194532(n).
%F A381712 G.f.: 1/Product_{k>=1} (1 - x^k)^(k * A194532(k)).
%F A381712 G.f.: exp( Sum_{k>=1} sigma_2(k^3) * x^k/k ).
%F A381712 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_2(k^3) * a(n-k).
%o A381712 (PARI) my(N=30, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^3, 2)*x^k/k)))
%Y A381712 Cf. A156304, A381714.
%Y A381712 Cf. A194532.
%K A381712 nonn
%O A381712 0,3
%A A381712 _Seiichi Manyama_, Mar 05 2025