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 A375826 #8 Aug 31 2024 08:32:38 %S A375826 1,0,0,6,12,40,1260,11088,99120,1926720,32800320,535328640, %T A375826 11274642720,259872088320,6108539621184,158608655251200, %U A375826 4495317057504000,134114095312404480,4253953999500357120,143971794376985272320,5141239842495675340800 %N A375826 E.g.f. satisfies A(x) = 1/(1 - x*A(x))^(x^2). %F A375826 a(n) = n! * Sum_{k=0..floor(n/3)} (n-2*k+1)^(k-1) * |Stirling1(n-2*k,k)|/(n-2*k)!. %o A375826 (PARI) a(n) = n!*sum(k=0, n\3, (n-2*k+1)^(k-1)*abs(stirling(n-2*k, k, 1))/(n-2*k)!); %Y A375826 Cf. A001761, A349559. %Y A375826 Cf. A375827. %K A375826 nonn %O A375826 0,4 %A A375826 _Seiichi Manyama_, Aug 30 2024