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 A358063 #8 Oct 29 2022 09:37:55 %S A358063 1,1,1,1,-23,-119,-359,1681,38641,269137,599761,-22461119,-347288039, %T A358063 -2477852519,13993475497,670329026641,8887630708321,29011883003041, %U A358063 -1682765787379679,-40673626173010943,-409560067877703479,4061870252008891561,235100528524188216121 %N A358063 Expansion of e.g.f. exp( x * exp(-x^3) ). %F A358063 a(n) = n! * Sum_{k=0..floor(n/3)} (-n + 3*k)^k/(k! * (n - 3*k)!). %o A358063 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x^3)))) %o A358063 (PARI) a(n) = n!*sum(k=0, n\3, (-n+3*k)^k/(k!*(n-3*k)!)); %Y A358063 Cf. A003725, A357948. %Y A358063 Cf. A354553. %K A358063 sign,easy %O A358063 0,5 %A A358063 _Seiichi Manyama_, Oct 29 2022