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 A371143 #7 Mar 12 2024 09:33:21 %S A371143 1,0,2,3,76,365,9906,94507,2832824,43209945,1438766830,30971280791, %T A371143 1146868043124,32166137748901,1322928667341386,45791799761422275, %U A371143 2085517396191903856,85748423669245738673,4306944218393176448742,204597526239295278145327 %N A371143 E.g.f. satisfies A(x) = 1 + x*A(x)^3 * (exp(x) - 1). %F A371143 a(n) = n! * Sum_{k=0..floor(n/2)} (3*k)!/(2*k+1)! * Stirling2(n-k,k)/(n-k)!. %o A371143 (PARI) a(n) = n!*sum(k=0, n\2, (3*k)!/(2*k+1)!*stirling(n-k, k, 2)/(n-k)!); %Y A371143 Cf. A052848, A371142. %Y A371143 Cf. A371141. %K A371143 nonn %O A371143 0,3 %A A371143 _Seiichi Manyama_, Mar 12 2024