cp's OEIS Frontend

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.

A381179 E.g.f. A(x) satisfies A(x) = 1 + sinh(x*A(x)) / A(x).

This page as a plain text file.
%I A381179 #8 Feb 16 2025 10:06:03
%S A381179 1,1,0,1,8,21,64,1093,8448,47785,654848,9402537,94222336,1264390141,
%T A381179 23392960512,363389219053,5722054885376,117602664867921,
%U A381179 2434091053613056,47867013812467921,1080303165427679232,26716998341391367141,645003218568158904320,16403742152044108508181
%N A381179 E.g.f. A(x) satisfies A(x) = 1 + sinh(x*A(x)) / A(x).
%F A381179 a(n) = Sum_{k=0..n} k! * binomial(n-k+1,k)/(n-k+1) * A136630(n,k).
%o A381179 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381179 a(n) = sum(k=0, n, k!*binomial(n-k+1, k)/(n-k+1)*a136630(n, k));
%Y A381179 Cf. A162653, A201628, A381177.
%Y A381179 Cf. A136630, A196776.
%K A381179 nonn
%O A381179 0,5
%A A381179 _Seiichi Manyama_, Feb 16 2025