A377361 E.g.f. satisfies A(x) = ( 1 - log(1 - x*A(x)) )^3.

1, 3, 27, 435, 10308, 324942, 12831540, 610024398, 33948639024, 2165995595208, 155913776865216, 12501945620113320, 1105228405532295216, 106806396107364409440, 11201958792185117156640, 1267313834232739887340464, 153842580381390055963315200, 19946923686925035463312117632

Offset

0,2

Links

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

Index entries for reversions of series

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A367152.

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

E.g.f.: (1/x) * Series_Reversion( x/(1 - log(1-x))^3 ).

Prog

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

Crossrefs

Cf. A138013, A377360.

Cf. A136719, A367152, A376393.

Sequence in context: A108525 A379699 A136719 * A380675 A279844 A159600

Adjacent sequences: A377358 A377359 A377360 * A377362 A377363 A377364

Keyword

nonn

Author

Seiichi Manyama, Oct 26 2024

Status

approved