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 A376477 #10 Sep 24 2024 14:14:46 %S A376477 1,0,0,6,24,0,2520,40320,181440,6048000,219542400,2874009600, %T A376477 57340483200,2847824179200,73556683200000,1606870263398400, %U A376477 77095250039808000,3111553620983808000,91548244100875161600,4054836680294400000000,210947475222439667712000,8463340108487290650624000,381818416967499733917696000 %N A376477 E.g.f. satisfies A(x) = exp( x^3*A(x)^3 * (1 + x*A(x)) ). %H A376477 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376477 E.g.f.: (1/x) * Series_Reversion( x*exp(-x^3 * (1 + x)) ). %F A376477 a(n) = n! * Sum_{k=0..floor(n/3)} (n+1)^(k-1) * binomial(k,n-3*k)/k!. %o A376477 (PARI) a(n) = n!*sum(k=0, n\3, (n+1)^(k-1)*binomial(k, n-3*k)/k!); %Y A376477 Cf. A088695, A376476. %K A376477 nonn %O A376477 0,4 %A A376477 _Seiichi Manyama_, Sep 24 2024