A238302 E.g.f. satisfies: A'(x) = 1/(1 - x*A(x))^3 with A(0)=1.

1, 1, 3, 18, 159, 1872, 27585, 488736, 10122273, 240029568, 6413759739, 190698235200, 6244960476447, 223354435468032, 8662843993599081, 362162307560207616, 16235331377066437185, 776899798554908971008, 39526189786699908619635, 2130538920122365706916864

Offset: 0

Author

Vaclav Kotesovec, Feb 24 2014

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..277

Crossrefs

Cf. A144010, A144011.

Programs

PARI

{a(n)=local(A=1+x); for(i=0, n, A=1+intformal(1/(1-x*A+x*O(x^n))^3 )); n!*polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))

Formula

a(n) ~ c * n! * d^n / n^(5/4), where c = 0.502313... and d = 3.03113979...