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 A294465 #16 Jan 21 2025 13:32:45
%S A294465 1,-1,0,-6,36,-180,720,-7560,236880,-3099600,15120000,-194594400,
%T A294465 9989179200,-131935003200,337815878400,-50154760656000,
%U A294465 2018231927712000,-27611162875296000,363290246871552000,-12648028196067264000,521752941995725440000
%N A294465 Expansion of e.g.f. Product_{k>0} (1+k*x^k)^(-1/k).
%F A294465 E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^k*j^(k-1)*x^(j*k)/k). - _Ilya Gutkovskiy_, May 28 2018
%F A294465 a(0) = 1 and a(n) = -(n-1)! * Sum_{k=1..n} A076717(k)*a(n-k)/(n-k)! for n > 0. - _Seiichi Manyama_, Jan 21 2025
%o A294465 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, (1+k*x^k)^(1/k))))
%Y A294465 Cf. A076717, A294356, A294462, A294463, A294464.
%K A294465 sign
%O A294465 0,4
%A A294465 _Seiichi Manyama_, Oct 31 2017