A377693 - OEIS

A377693

E.g.f. satisfies A(x) = (1 - log(1 - x) * A(x))^3.

1, 3, 27, 408, 8814, 249702, 8789946, 370639896, 18233312640, 1025931258264, 65016004033944, 4583861319427200, 355955157532869552, 30192068409536580336, 2777615578746538933392, 275502517287785484635520, 29308962522270448504338048, 3329136621436554585165282048

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A367158.

a(n) = 3 * Sum_{k=0..n} (3*k+2)!/(2*k+3)! * |Stirling1(n,k)|.

PROG

(PARI) a(n) = 3*sum(k=0, n, (3*k+2)!/(2*k+3)!*abs(stirling(n, k, 1)));

CROSSREFS

Cf. A007840, A377692.