A377504 - OEIS

%I #10 Oct 31 2024 06:47:58

%S 1,3,36,735,21972,871995,43308378,2588123811,180990517032,

%T 14507325973395,1311719669172750,132102208441613883,

%U 14666354372331521676,1779817542971018697003,234399632982398657764578,33297612755940733707395955,5075234637265322738651060688,826215756199826873368252279971

%N E.g.f. satisfies A(x) = 1/(1 - x * exp(x) * A(x))^3.

%F E.g.f.: B(x)^3, where B(x) is the e.g.f. of A364987.

%F a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(4*k+2,k)/( (k+1)*(n-k)! ).

%o (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*k+2, k)/((k+1)*(n-k)!));

%Y Cf. A295238, A377503, A377528.

%Y Cf. A006632, A364987.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 30 2024