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 A371232 #10 Mar 16 2024 11:06:43 %S A371232 1,0,2,3,176,1050,57144,744660,41682304,917959392,54654865920, %T A371232 1761420386880,113338947830976,4879197834619680,341937322823859840, %U A371232 18486700938579444480,1415296984669095859200,92017658919053166405120,7695907229874069158658048 %N A371232 E.g.f. satisfies A(x) = 1 - x*A(x)^4*log(1 - x*A(x)^3). %F A371232 a(n) = (n!/(3*n+1)!) * Sum_{k=0..floor(n/2)} (3*n+k)! * |Stirling1(n-k,k)|/(n-k)!. %o A371232 (PARI) a(n) = n!*sum(k=0, n\2, (3*n+k)!*abs(stirling(n-k, k, 1))/(n-k)!)/(3*n+1)!; %Y A371232 Cf. A370993, A371230. %K A371232 nonn %O A371232 0,3 %A A371232 _Seiichi Manyama_, Mar 15 2024