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%I #11 Aug 20 2012 15:46:58
%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 cosh(x)^sinh(x) at x=0.
%F E.g.f.: cosh(x)^sinh(x).
%p a:= n-> n!* coeff(series(cosh(x)^sinh(x), x, n+1), x, n):
%p seq (a(n), n=0..25); # _Alois P. Heinz_, Aug 14 2012
%t f[x_] := Cosh[x]^Sinh[x]; Table[Derivative[n][f][0],{n,25}]
%o (Sage)
%o @CachedFunction
%o def b(n) : return cosh(x)^sinh(x) if n == 0 else diff(b(n-1),x)
%o def a(n) : return b(n).subs(x=0)
%o [a(n) for n in (0..20)] # _Peter Luschny_, Aug 15 2012
%Y Cf. A215679.
%K sign
%O 0,4
%A _Michel Lagneau_, Aug 14 2012