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.

A381714 Euler transform of n^2 * A381713(n).

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%I A381714 #15 Apr 02 2025 03:05:39
%S A381714 1,1,293,7106,124636,2507807,53728922,975224769,17336813339,
%T A381714 308906655193,5324331825516,88599795614719,1449812221707335,
%U A381714 23313054134280890,367282089624429463,5682414281863178845,86571519001530856417,1299264182863131989813
%N A381714 Euler transform of n^2 * A381713(n).
%F A381714 G.f.: 1/Product_{k>=1} (1 - x^k)^(k^2 * A381713(k)).
%F A381714 G.f.: exp( Sum_{k>=1} sigma_3(k^3) * x^k/k ).
%F A381714 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_3(k^3) * a(n-k).
%o A381714 (PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^3, 3)*x^k/k)))
%Y A381714 Cf. A156304, A381712.
%Y A381714 Cf. A381713.
%K A381714 nonn
%O A381714 0,3
%A A381714 _Seiichi Manyama_, Mar 05 2025