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 A381430 #11 Feb 24 2025 04:21:14
%S A381430 1,1,6,73,1368,34861,1126368,44135701,2034072960,107823563641,
%T A381430 6463383851520,432331180935457,31924171503581184,2579483385868484005,
%U A381430 226383845487041421312,21445302563389991287981,2180974075392495296544768,237009522316557393020262001,27409082977094100068471537664
%N A381430 E.g.f. A(x) satisfies A(x) = 1 + sinh(x*A(x)^3).
%H A381430 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A381430 E.g.f.: ( (1/x) * Series_Reversion( x/(1 + sinh(x))^3 ) )^(1/3).
%F A381430 a(n) = (1/(3*n+1)) * Sum_{k=0..n} k! * binomial(3*n+1,k) * A136630(n,k).
%o A381430 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381430 a(n) = sum(k=0, n, k!*binomial(3*n+1, k)*a136630(n, k))/(3*n+1);
%Y A381430 Cf. A162653, A198865.
%Y A381430 Cf. A136630, A381443.
%K A381430 nonn
%O A381430 0,3
%A A381430 _Seiichi Manyama_, Feb 23 2025