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 A381416 #10 Feb 23 2025 08:19:14
%S A381416 1,2,12,130,2080,44354,1185856,38188546,1439993088,62261776002,
%T A381416 3037542875136,165090563653250,9892965209886720,648064548551770562,
%U A381416 46075919968420085760,3533725068594022938626,290804441398399410503680,25561250854199444302177538,2390133356713125694150017024
%N A381416 E.g.f. A(x) satisfies A(x) = exp( 2 * sinh(x * A(x)) ).
%F A381416 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A381415.
%F A381416 a(n) = 2 * Sum_{k=0..n} (2*n+2)^(k-1) * A136630(n,k).
%o A381416 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381416 a(n) = 2*sum(k=0, n, (2*n+2)^(k-1)*a136630(n, k));
%Y A381416 Cf. A136630, A381415.
%K A381416 nonn
%O A381416 0,2
%A A381416 _Seiichi Manyama_, Feb 23 2025