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 A381429 #8 Feb 24 2025 04:20:19
%S A381429 1,1,8,133,3392,117601,5167808,275334613,17250670592,1242994578721,
%T A381429 101273185092608,9206681997173893,923928346115182592,
%U A381429 101453787213382443841,12100018549609932996608,1557645163271323384461973,215265839194368088629051392,31788685348087376561935104961
%N A381429 E.g.f. A(x) satisfies A(x) = 1/( 1 - sinh(x) * A(x)^3 ).
%F A381429 a(n) = Sum_{k=0..n} k! * binomial(4*k+1,k)/(4*k+1) * A136630(n,k).
%o A381429 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381429 a(n) = sum(k=0, n, k!*binomial(4*k+1, k)/(4*k+1)*a136630(n, k));
%Y A381429 Cf. A006154, A295254, A381428.
%Y A381429 Cf. A136630.
%K A381429 nonn
%O A381429 0,3
%A A381429 _Seiichi Manyama_, Feb 23 2025