cp's OEIS Frontend

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.

A380016 Expansion of e.g.f. 1/(exp(-3*x) - 3*x)^(1/3).

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%I A380016 #7 Jan 09 2025 08:00:45
%S A380016 1,2,13,161,2833,64841,1827685,61192181,2372620801,104549934977,
%T A380016 5160225776101,281994042839477,16902276273364465,1102519010117525105,
%U A380016 77749077431938305541,5894145002422856684501,478015727336387513545345,41295912476641866286397825,3786025873450493919700627525
%N A380016 Expansion of e.g.f. 1/(exp(-3*x) - 3*x)^(1/3).
%F A380016 a(n) = n! * Sum_{k=0..n} (-3)^k * (3*k+1)^(n-k) * binomial(-1/3,k)/(n-k)!.
%o A380016 (PARI) a(n) = n!*sum(k=0, n, (-3)^k*(3*k+1)^(n-k)*binomial(-1/3, k)/(n-k)!);
%Y A380016 Cf. A072597, A380014, A380018.
%K A380016 nonn
%O A380016 0,2
%A A380016 _Seiichi Manyama_, Jan 09 2025