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 A385422 #14 Jun 28 2025 10:47:14
%S A385422 1,1,4,37,424,6889,129376,3004597,78196864,2363157937,78520720384,
%T A385422 2924352594373,118146438461440,5232528466643737,248845526415892480,
%U A385422 12778931460471237397,699044652076991610880,40846771050451091426785,2526020027235443981025280
%N A385422 Expansion of e.g.f. 1/(1 - arcsin(3*x))^(1/3).
%F A385422 a(n) = Sum_{k=0..n} A007559(k) * 3^(n-k) * A385343(n,k).
%F A385422 a(n) ~ sqrt(2*Pi) * cos(1)^(1/3) * 3^n * n^(n - 1/6) / (Gamma(1/3) * sin(1)^(n + 1/3) * exp(n)). - _Vaclav Kotesovec_, Jun 28 2025
%o A385422 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-asin(3*x))^(1/3)))
%Y A385422 Cf. A189780, A385421.
%Y A385422 Cf. A007559, A007788, A235135, A385343, A385420.
%K A385422 nonn
%O A385422 0,3
%A A385422 _Seiichi Manyama_, Jun 28 2025