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n-th derivative of cosh(x)^sin(x) at x=0.
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%I #6 Aug 20 2012 15:33:13

%S 1,0,0,3,0,-20,90,203,-3360,3480,123480,-691317,-4660920,67346500,

%T 84564480,-6373324357,19974165120,628445064240,-5371928458560,

%U -62241266791917,1104961392178560,5221640648959900,-225150453590240640,18981681539957003,48136732573773993600

%N n-th derivative of cosh(x)^sin(x) at x=0.

%F E.g.f.: cosh(x)^sin(x).

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

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

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

%Y Cf. A215678.

%K sign

%O 0,4

%A _Michel Lagneau_, Aug 16 2012