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A308535 Expansion of e.g.f. 1/(1 - x)^log(1 + x) (even powers only). 0

%I #5 Jun 06 2019 21:59:36

%S 1,2,22,608,31764,2695992,338441112,58961602464,13614906576528,

%T 4024831155397536,1482492491866434912,665729215100873644800,

%U 358022910151079384324928,227174478580352888344068480,167941710127005880795828894080,143087068385495604780364250426880

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

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

%t 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}]

%Y Cf. A008405, A009199, A087761, A308346.

%K nonn

%O 0,2

%A _Ilya Gutkovskiy_, Jun 06 2019

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