A381593 - OEIS

A381593

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

1, 2, 11, 88, 869, 9876, 124473, 1701630, 24870695, 384795184, 6257294780, 106377162620, 1882982975521, 34593496243070, 657935674477431, 12927331575084846, 261951066040220637, 5466177185459699916, 117315664923801661485, 2586804284853871362408

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

See A381592.

G.f.: B(x)^2, where B(x) is the g.f. of A381600.

PROG

(PARI) a(n, k=2) = 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=2 of A381592.

Cf. A088714, A381595.

Cf. A107096, A381572, A381600.

Sequence in context: A372842 A047797 A107096 * A361599 A138739 A216831

Adjacent sequences: A381588 A381590 A381592 * A381594 A381595 A381597

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Mar 01 2025

STATUS

approved