A377744 - OEIS

%I #10 Nov 06 2024 04:37:53

%S 1,5,69,1741,65025,3238401,202252549,15216086789,1340493558497,

%T 135418524663457,15436319894361141,1960277599669850517,

%U 274474966233168968353,42012725272366653895169,6979546631782182590117189,1250777360824265136694022341,240516661686854988775792192833

%N E.g.f. satisfies A(x) = exp(x) / (1 - x * A(x))^4.

%F a(n) = n! * Sum_{k=0..n} (k+1)^(n-k-1) * binomial(5*k+3,k)/(n-k)!.

%o (PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k-1)*binomial(5*k+3, k)/(n-k)!);

%Y Cf. A194471, A377742, A377743.

%Y Cf. A377528.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 06 2024