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 A381709 #15 Apr 01 2025 12:01:44 %S A381709 1,1,137,2351,29075,408429,5957562,76590384,955079422,11831378688, %T A381709 142650905559,1668991927795,19144774189917,215790313316371, %U A381709 2388025355854986,25973791505651972,278176027053878678,2936495245822593766,30573379794788083289,314185573464039742503 %N A381709 Euler transform of n^3 * A065960(n). %F A381709 G.f.: 1/Product_{k>=1} (1 - x^k)^(k^3 * A065960(k)). %F A381709 G.f.: exp( Sum_{k>=1} sigma_4(k^2) * x^k/k ). %F A381709 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_4(k^2) * a(n-k). %o A381709 (PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^2, 4)*x^k/k))) %Y A381709 Cf. A156303, A156733, A381170. %Y A381709 Cf. A023872, A065960, A381679. %K A381709 nonn %O A381709 0,3 %A A381709 _Seiichi Manyama_, Mar 04 2025