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 A385141 #14 Jun 19 2025 10:24:30 %S A385141 1,3,3,-36,-147,1728,14391,-193344,-2572263,39702528,744878859, %T A385141 -13061956608,-320684319675,6310454624256,192965057926335, %U A385141 -4214431981191168,-155017339047231951,3722456794316931072,160513751565607780755,-4204149732317088448512 %N A385141 E.g.f. A(x) satisfies A(x) = exp(3*x*A(-x)^(1/3)). %F A385141 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A141369. %F A385141 a(n) = 3 * Sum_{k=0..n} (n-k+3)^(k-1) * (-k)^(n-k) * binomial(n,k). %o A385141 (PARI) a(n) = 3*sum(k=0, n, (n-k+3)^(k-1)*(-k)^(n-k)*binomial(n, k)); %Y A385141 Cf. A141369, A385140. %Y A385141 Cf. A360988. %K A385141 sign %O A385141 0,2 %A A385141 _Seiichi Manyama_, Jun 19 2025