A379689 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) * (1 - x*exp(2*x)) ).

1, 0, 5, 26, 557, 9504, 254737, 7405712, 264468185, 10599167744, 484155176381, 24530813822976, 1373346539948869, 83980088153710592, 5576376312266516681, 399370804845913339904, 30695207044654060184753, 2519882221014204064727040, 220076205166821624927515893

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A379661, A379690, A379691.

Sequence in context: A324419 A090644 A196951 * A156217 A156216 A320987

Adjacent sequences: A379686 A379687 A379688 * A379690 A379691 A379692

Keyword

nonn

Author

Seiichi Manyama, Dec 29 2024

Status

approved