A308535 Expansion of e.g.f. 1/(1 - x)^log(1 + x) (even powers only).

1, 2, 22, 608, 31764, 2695992, 338441112, 58961602464, 13614906576528, 4024831155397536, 1482492491866434912, 665729215100873644800, 358022910151079384324928, 227174478580352888344068480, 167941710127005880795828894080, 143087068385495604780364250426880

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Formula

a(n) = (2*n)! * [x^(2*n)] 1/(1 - x)^log(1 + x).

Mathematica

nmax = 15; Table[(CoefficientList[Series[1/(1 - x)^Log[1 + x], {x, 0, 2 nmax}], x] Range[0, 2 nmax]!)[[n]], {n, 1, 2 nmax + 1, 2}]

Crossrefs

Cf. A008405, A009199, A087761, A308346.

Sequence in context: A217912 A210657 A177042 * A318639 A354243 A220732

Adjacent sequences: A308532 A308533 A308534 * A308536 A308537 A308538

Keyword

nonn

Author

Ilya Gutkovskiy, Jun 06 2019

Status

approved