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 A385473 #10 Jun 30 2025 09:58:14
%S A385473 1,1,4,46,568,10624,218656,5702752,163568128,5497133824,201702168064,
%T A385473 8319367856128,371416377318400,18185429803469824,955872746109276160,
%U A385473 54228988018125125632,3278679608280623841280,211600457615794941460480,14461966051190623712051200
%N A385473 Expansion of e.g.f. 1/(1 - arctanh(3*x))^(1/3).
%F A385473 E.g.f.: 1/(1 - (1/2) * log((1+3*x)/(1-3*x)))^(1/3).
%F A385473 a(n) = Sum_{k=0..n} A007559(k) * 3^(n-k) * A111594(n,k).
%o A385473 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-atanh(3*x))^(1/3)))
%Y A385473 Cf. A296676, A385472.
%Y A385473 Cf. A007559, A111594.
%K A385473 nonn,easy
%O A385473 0,3
%A A385473 _Seiichi Manyama_, Jun 30 2025