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 A385377 #10 Jun 27 2025 08:49:26
%S A385377 1,1,4,29,296,3929,64096,1241437,27834496,709117073,20232018944,
%T A385377 639064971293,22138797783040,834595012185193,34013250713804800,
%U A385377 1490126154034917917,69836524615835156480,3486395656135414573985,184703404516197170544640,10349751400296465164293405
%N A385377 Expansion of e.g.f. 1/(1 - 3 * arcsin(x))^(1/3).
%F A385377 a(n) = Sum_{k=0..n} A007559(k) * A385343(n,k).
%F A385377 a(n) ~ sqrt(2*Pi) * cos(1/3)^(1/3) * n^(n - 1/6) / (Gamma(1/3) * 3^(1/3) * exp(n) * sin(1/3)^(n + 1/3)). - _Vaclav Kotesovec_, Jun 27 2025
%o A385377 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-3*asin(x))^(1/3)))
%Y A385377 Cf. A189780, A385376.
%Y A385377 Cf. A007559, A385343, A385347.
%K A385377 nonn
%O A385377 0,3
%A A385377 _Seiichi Manyama_, Jun 27 2025