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 A380134 #8 Jan 13 2025 02:27:33
%S A380134 1,1,0,1,-4,25,-194,1813,-19816,248113,-3502630,55052701,-953576876,
%T A380134 18048491305,-370623627178,8207063150245,-194950421191504,
%U A380134 4944881412682081,-133394451535683278,3813510163227155245,-115170227064335439700,3663942710200202043481
%N A380134 Expansion of e.g.f. (1 + 3*x*exp(x))^(1/3).
%F A380134 a(n) = n! * Sum_{k=0..n} 3^k * k^(n-k) * binomial(1/3,k)/(n-k)!.
%o A380134 (PARI) a(n) = n!*sum(k=0, n, 3^k*k^(n-k)*binomial(1/3, k)/(n-k)!);
%Y A380134 Cf. A028310, A380133.
%Y A380134 Cf. A380051, A380094.
%Y A380134 Cf. A380017.
%K A380134 sign
%O A380134 0,5
%A A380134 _Seiichi Manyama_, Jan 12 2025