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 A381210 #10 Feb 17 2025 08:18:22
%S A381210 1,3,12,63,408,3123,27552,275103,3065088,37682883,506606592,
%T A381210 7392091743,116329479168,1963781841843,35395627487232,678401549017983,
%U A381210 13776623985819648,295481239628640003,6674320861079273472,158364407589097613823,3937958237874411798528
%N A381210 Expansion of e.g.f. 1/(1 - sinh(x))^3.
%F A381210 a(n) = 1/2 * Sum_{k=0..n} (k+2)! * A136630(n,k).
%o A381210 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381210 a(n) = sum(k=0, n, (k+2)!*a136630(n, k))/2;
%Y A381210 Cf. A377530, A381207, A381209, A381211.
%Y A381210 Cf. A136630.
%K A381210 nonn
%O A381210 0,2
%A A381210 _Seiichi Manyama_, Feb 17 2025