A381595 - OEIS

A381595

G.f. A(x) satisfies A(x) = 1/(1 - x * A(x) * A(x*A(x)))^3.

1, 3, 24, 280, 4044, 67365, 1246534, 25051422, 538836147, 12279937669, 294374405652, 7382843258466, 192917842671564, 5235276617405133, 147163222059602313, 4275948043251399950, 128196303568520249238, 3959890522003241945409, 125863828745364900374059

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

See A381594.

G.f.: B(x)^3, where B(x) is the g.f. of A381601.

PROG

(PARI) a(n, k=3) = if(k==0, 0^n, k*sum(j=0, n, binomial(3*n+j+k, j)/(3*n+j+k)*a(n-j, 3*j)));

CROSSREFS

Column k=3 of A381594.

Cf. A088714, A381593.

Cf. A145160, A381574, A381601.

Sequence in context: A276360 A354289 A351763 * A355794 A355426 A064037

Adjacent sequences: A381592 A381593 A381594 * A381597 A381598 A381599

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Mar 01 2025

STATUS

approved