A371723 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/4) * (1 + A(x)^(5/4)) )^2.

1, 4, 18, 100, 623, 4156, 29032, 209656, 1552535, 11724904, 89958000, 699213444, 5494103979, 43570067100, 348274269966, 2803139823512, 22698137859554, 184779492011244, 1511406790180350, 12415340284461312, 102377122022648745, 847144310799588732

Offset: 0

Author

Seiichi Manyama, Apr 04 2024

Keywords

• nonn

Crossrefs

Cf. A000292, A370891.

Cf. A370471, A370472, A371725.

Programs

PARI

a(n) = 2*sum(k=0, n, binomial(n, k)*binomial(n/2+5*k/2+2, n)/(n/2+5*k/2+2));

Formula

G.f.: B(x)^4 where B(x) is the g.f. of A370472.

a(n) = 2 * Sum_{k=0..n} binomial(n,k) * binomial(n/2+5*k/2+2,n)/(n/2+5*k/2+2).