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 A375682 #10 Sep 01 2024 10:13:19
%S A375682 1,0,0,9,0,45,1080,630,30240,470610,1247400,38170440,523908000,
%T A375682 3454050600,87950182320,1245647403000,14580569203200,346019491818000,
%U A375682 5524280291930400,92520760776444000,2188180621979352000,40781057935225608000,857154570994798876800
%N A375682 Expansion of e.g.f. 1 / (1 + x * log(1 - x^2/2))^3.
%F A375682 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A375167.
%F A375682 a(n) = (n!/2) * Sum_{k=0..floor(n/2)} (n-2*k+2)! * |Stirling1(k,n-2*k)|/(2^k*k!).
%o A375682 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^2/2))^3))
%o A375682 (PARI) a(n) = n!*sum(k=0, n\2, (n-2*k+2)!*abs(stirling(k, n-2*k, 1))/(2^k*k!))/2;
%Y A375682 Cf. A375167, A375237.
%K A375682 nonn
%O A375682 0,4
%A A375682 _Seiichi Manyama_, Aug 23 2024