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

%I #10 Aug 14 2012 18:39:56

%S 1,0,0,3,0,-10,90,112,-1680,5112,52920,-328504,-1255320,23508784,

%T 14510496,-1763573160,4091068800,159016114496,-879390741312,

%U -16959317684096,164322768835200,2137075591340928,-32790836323453824,-310912999830134272,7354887176447775360

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

%F a(n) = ((d/dx)^n cosh(x)^x)_{x=0}.

%p a:= n-> (D@@n)(x-> cosh(x)^x)(0):

%p seq (a(n), n=0..20); # _Alois P. Heinz_, Aug 14 2012

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

%K sign

%O 0,4

%A _Michel Lagneau_, Aug 14 2012