A379684 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) * (1 - x*exp(x)) ).

1, 0, 3, 11, 193, 2389, 50191, 1088205, 29836353, 902845673, 31428924631, 1207426391137, 51394833121105, 2386048646491197, 120379283952129567, 6547887322803355589, 382306453347573490177, 23839225109022069540817, 1581540933047988924532135

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A213644, A377890, A379685.

Sequence in context: A284704 A081484 A125738 * A334176 A332771 A092840

Adjacent sequences: A379681 A379682 A379683 * A379685 A379686 A379687

Keyword

nonn

Author

Seiichi Manyama, Dec 29 2024

Status

approved