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n-th derivative of sec(x)^sinh(x) at x=0.
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%I #5 Aug 20 2012 15:33:28

%S 1,0,0,3,0,20,90,203,3360,11640,123480,971883,7155720,81842540,

%T 689969280,8098733243,87787889280,1037050927920,13312247451840,

%U 170378180195283,2401844355066240,34222349644158980,518547579965036160,8138997539240165003,132773771778775670400

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

%C sec(x) = 1/cos(x).

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

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

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

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

%Y Cf. A215583.

%K nonn

%O 0,4

%A _Michel Lagneau_, Aug 20 2012