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 A356971 #12 Sep 12 2022 03:05:52 %S A356971 1,0,0,0,24,60,240,1260,108864,1149120,12160800,138045600,5605649280, %T A356971 122049607680,2378318604480,45712559692800,1529842399303680, %U A356971 47673689320857600,1382823169839820800,38831806109898547200,1378613101427645184000 %N A356971 E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x^3 * A(x)). %F A356971 a(n) = n! * Sum_{k=0..floor(n/4)} (n-2*k+1)^(k-1) * |Stirling1(n-3*k,k)|/(n-3*k)!. %t A356971 m = 21; (* number of terms *) %t A356971 A[_] = 0; %t A356971 Do[A[x_] = 1/(1 - x*A[x])^(x^3*A[x]) + O[x]^m // Normal, {m}]; %t A356971 CoefficientList[A[x], x]*Range[0, m - 1]! (* _Jean-François Alcover_, Sep 12 2022 *) %o A356971 (PARI) a(n) = n!*sum(k=0, n\4, (n-2*k+1)^(k-1)*abs(stirling(n-3*k, k, 1))/(n-3*k)!); %Y A356971 Cf. A184949, A349556, A356970. %Y A356971 Cf. A356968. %K A356971 nonn %O A356971 0,5 %A A356971 _Seiichi Manyama_, Sep 07 2022