A370988 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x*(exp(x) - 1)) ).

1, 0, 2, 3, 76, 425, 10326, 119077, 3158968, 57929265, 1740086290, 44066266541, 1512768107940, 48660920528233, 1905202422005806, 73878129769929045, 3275941116578461936, 147981592692778718561, 7366814796135956094378, 378666415166758834858237

Offset

0,3

Links

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

Index entries for reversions of series

Formula

a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} (n+k)! * Stirling2(n-k,k)/(n-k)!.

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x*(exp(x)-1)))/x))
(PARI) a(n) = sum(k=0, n\2, (n+k)!*stirling(n-k, k, 2)/(n-k)!)/(n+1);

Crossrefs

Cf. A052894, A370989, A370990.

Cf. A370991, A370992.

Cf. A052848.

Sequence in context: A042233 A176290 A371143 * A371269 A306195 A091825

Adjacent sequences: A370985 A370986 A370987 * A370989 A370990 A370991

Keyword

nonn

Author

Seiichi Manyama, Mar 06 2024

Status

approved