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 A381147 #11 Feb 15 2025 10:11:44
%S A381147 1,1,1,2,13,92,621,5112,56057,705168,9480665,141039648,2366242693,
%T A381147 43609330624,864164283269,18414385180544,422574196387953,
%U A381147 10374625080684800,270563138370828465,7472794772378583552,218190569313134267517,6714970997524417977344
%N A381147 E.g.f. A(x) satisfies A(x) = exp( sinh(x * A(x)) / A(x) ).
%F A381147 a(n) = Sum_{k=0..n} (n-k+1)^(k-1) * A136630(n,k).
%o A381147 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381147 a(n) = sum(k=0, n, (n-k+1)^(k-1)*a136630(n, k));
%Y A381147 Cf. A003724, A162650, A219503.
%Y A381147 Cf. A136630.
%K A381147 nonn
%O A381147 0,4
%A A381147 _Seiichi Manyama_, Feb 15 2025