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.

A235132 E.g.f. 1/(1 - tan(3*x))^(1/3).

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%I A235132 #8 Sep 23 2022 16:59:31
%S A235132 1,1,4,46,568,9976,203104,4995136,140343808,4493656576,160609429504,
%T A235132 6356981099776,275688520680448,13008983675954176,663382602064482304,
%U A235132 36360098005522825216,2131554196360938815488,133093201551208236875776,8818123347826691244949504
%N A235132 E.g.f. 1/(1 - tan(3*x))^(1/3).
%C A235132 Generally, for e.g.f. 1/(1-tan(p*x))^(1/p) is a(n) ~ n! * 2^(2*n+1/p) * n^((1-p)/p) * p^n / (Pi^(n+1/p) * Gamma(1/p)).
%F A235132 a(n) ~ n! * 2^(2*n+1/3) * 3^n / (Gamma(1/3) * Pi^(n+1/3) * n^(2/3)).
%t A235132 CoefficientList[Series[1/(1 - Tan[3*x])^(1/3), {x, 0, 20}], x] * Range[0, 20]!
%Y A235132 Cf. A000828 (p=1), A235131 (p=2).
%K A235132 nonn,easy
%O A235132 0,3
%A A235132 _Vaclav Kotesovec_, Jan 03 2014