A215679 - OEIS

%I #5 Aug 20 2012 15:45:29

%S 1,0,0,-3,0,0,90,-63,0,-6240,22680,-49203,376200,-7076160,60540480,

%T 57346377,39312000,-49503504960,276296898240,2899764389277,

%U -3278565763200,-767149465779840,3023234606367360,114504064046714097,-92501888140886400,-30154180723807140000

%N n-th derivative of sech(x)^sinh(x) at x=0.

%C sech(x) = 1/cosh(x).

%F E.g.f.: sech(x)^sinh(x).

%p a:= n-> n!* coeff(series(sech(x)^sinh(x), x, n+1), x, n):

%p seq (a(n), n=0..25);  # _Alois P. Heinz_, Aug 20 2012

%t f[x_] := Sech[x]^Sinh[x]; Table[Derivative[n][f][0],{n,0,25}]

%Y Cf. A215519.

%K sign

%O 0,4

%A _Michel Lagneau_, Aug 20 2012