A379690 Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x*exp(2*x)) ).

1, 1, 8, 102, 1952, 49920, 1603392, 62100304, 2818386944, 146748098304, 8624885719040, 564885716972544, 40800979548180480, 3222148806557544448, 276214603877715378176, 25544721442331112192000, 2535168741071076287971328, 268757182971129822376624128, 30311086789573678207758237696

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A379661, A379689, A379691.

Sequence in context: A366016 A328061 A305603 * A372334 A333985 A369184

Adjacent sequences: A379687 A379688 A379689 * A379691 A379692 A379693

Keyword

nonn

Author

Seiichi Manyama, Dec 29 2024

Status

approved