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 A381170 #29 Apr 01 2025 03:28:25 %S A381170 1,1,37,289,2107,14329,105187,693579,4512054,28468770,176428599, %T A381170 1065826203,6323626404,36816785552,210944620532,1189766311028, %U A381170 6615412814561,36287015790029,196547683500294,1051919158699442,5566679104757415,29144209704259923,151039019038054896 %N A381170 Euler transform of n^2 * A065959(n). %F A381170 G.f.: 1/Product_{k>=1} (1 - x^k)^(k^2 * A065959(k)). %F A381170 G.f.: exp( Sum_{k>=1} sigma_3(k^2) * x^k/k ). %F A381170 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_3(k^2) * a(n-k). %o A381170 (PARI) my(N=30, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^2, 3)*x^k/k))) %Y A381170 Cf. A156733, A381709. %Y A381170 Cf. A065959. %K A381170 nonn %O A381170 0,3 %A A381170 _Seiichi Manyama_, Mar 04 2025