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.

A385469 Expansion of e.g.f. 1/(1 - 3 * arctanh(x))^(1/3).

This page as a plain text file.
%I A385469 #11 Jun 30 2025 10:04:06
%S A385469 1,1,4,30,312,4224,70176,1384032,31590912,819254016,23792039424,
%T A385469 764912590848,26970073390080,1034798724320256,42921327875788800,
%U A385469 1913760046417508352,91281373260924026880,4637755280044146032640,250054580636566927441920,14259891701316651909120000
%N A385469 Expansion of e.g.f. 1/(1 - 3 * arctanh(x))^(1/3).
%F A385469 E.g.f.: 1/(1 - (3/2) * log((1+x)/(1-x)))^(1/3).
%F A385469 a(n) = Sum_{k=0..n} A007559(k) * A111594(n,k).
%o A385469 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-3*atanh(x))^(1/3)))
%Y A385469 Cf. A296676, A385468.
%Y A385469 Cf. A007559, A111594.
%K A385469 nonn
%O A385469 0,3
%A A385469 _Seiichi Manyama_, Jun 30 2025