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 A381382 #10 Feb 22 2025 09:55:49
%S A381382 1,1,2,7,48,541,7600,120891,2178176,45053401,1065957888,28344376303,
%T A381382 831973593088,26647344263541,925300511922176,34668496386129763,
%U A381382 1394928344160731136,59986286728056665905,2744940504174063714304,133158543838350039763671
%N A381382 E.g.f. A(x) satisfies A(x) = 1/( 1 - sinh(x * A(x)^2) / A(x)^2 ).
%F A381382 a(n) = Sum_{k=0..n} k! * binomial(2*n-k+1,k)/(2*n-k+1) * A136630(n,k).
%o A381382 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381382 a(n) = sum(k=0, n, k!*binomial(2*n-k+1, k)/(2*n-k+1)*a136630(n, k));
%Y A381382 Cf. A364980, A381376, A381378, A381384.
%Y A381382 Cf. A136630.
%K A381382 nonn
%O A381382 0,3
%A A381382 _Seiichi Manyama_, Feb 22 2025