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 A379935 #9 Jan 07 2025 06:57:09 %S A379935 1,4,38,674,17744,623362,27480844,1460031610,90862627184, %T A379935 6485745312098,522469881832964,46895105170999978,4641403797239576392, %U A379935 502226056825606487506,58985555898802967473820,7473459685930447455067418,1016083115772085962460442336,147559760656716707828287356610 %N A379935 E.g.f. A(x) satisfies A(x) = 1/( exp(-x) - x*A(x) )^2. %F A379935 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A379886. %F A379935 a(n) = 2 * n! * Sum_{k=0..n} (3*n-3*k+2)^(k-1) * binomial(3*n-3*k+2,n-k)/k!. %o A379935 (PARI) a(n) = 2*n!*sum(k=0, n, (3*n-3*k+2)^(k-1)*binomial(3*n-3*k+2, n-k)/k!); %Y A379935 Cf. A379864, A379886, A379933. %K A379935 nonn %O A379935 0,2 %A A379935 _Seiichi Manyama_, Jan 06 2025