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 A380159 #8 Jan 14 2025 01:49:06
%S A380159 1,0,3,-9,-27,459,243,-58563,338985,11581623,-206336889,-2610099207,
%T A380159 128764066797,37135699587,-90848500643781,1216300295221749,
%U A380159 68623945856512209,-2410073970973057809,-44786917868989757553,4171855691698864732305,-8174731579262161250859
%N A380159 Expansion of e.g.f. (exp(-3*x) + 3*x)^(1/3).
%F A380159 a(n) = n! * Sum_{k=0..n} 3^k * (3*k-1)^(n-k) * binomial(1/3,k)/(n-k)!.
%F A380159 a(n) == 0 (mod 3) for n>0.
%o A380159 (PARI) a(n) = n!*sum(k=0, n, 3^k*(3*k-1)^(n-k)*binomial(1/3, k)/(n-k)!);
%Y A380159 Cf. A380016, A380158.
%K A380159 sign
%O A380159 0,3
%A A380159 _Seiichi Manyama_, Jan 13 2025