A381600 G.f. A(x) satisfies A(x) = 1/(1 - x * A(x)^2 * A(x*A(x)^2)^2).

1, 1, 5, 39, 383, 4360, 55201, 758877, 11157081, 173623407, 2838995592, 48515016273, 862904739711, 15923514065053, 304089551295359, 5997295071211547, 121944040723497105, 2552667957311169834, 54944459391676448365, 1214747696691087352576, 27559533140410855702244

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

See A381592.

Prog

(PARI) a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, binomial(2*n+j+k, j)/(2*n+j+k)*a(n-j, 2*j)));

Crossrefs

Column k=1 of A381592.

Cf. A120971.

Sequence in context: A129763 A277424 A182954 * A215506 A316654 A070767

Adjacent sequences: A381597 A381598 A381599 * A381601 A381602 A381603

Keyword

nonn,new

Author

Seiichi Manyama, Mar 01 2025

Status

approved