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 A371043 #10 Mar 09 2024 08:14:53 %S A371043 1,0,2,6,36,380,3630,47082,725816,12132360,235801530,5083309550, %T A371043 119757623172,3103443520476,87082536196838,2632399338834930, %U A371043 85471932351187440,2961803643600574352,109154615479427298546,4264407640037365789014,175984871341042826680700 %N A371043 E.g.f. satisfies A(x) = 1 + x^2*A(x)*exp(x*A(x)). %F A371043 a(n) = n! * Sum_{k=0..floor(n/2)} k^(n-2*k) * binomial(n-k+1,k)/( (n-k+1)*(n-2*k)! ). %o A371043 (PARI) a(n) = n!*sum(k=0, n\2, k^(n-2*k)*binomial(n-k+1, k)/((n-k+1)*(n-2*k)!)); %Y A371043 Cf. A370984, A371018, A371042. %Y A371043 Cf. A365282. %K A371043 nonn %O A371043 0,3 %A A371043 _Seiichi Manyama_, Mar 09 2024