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n-th derivative of cosh(x)^tanh(x) at x=0.
3

%I #10 Dec 06 2012 18:51:32

%S 1,0,0,3,0,-30,90,588,-5040,-11400,325080,-336072,-25237080,126955920,

%T 2273150880,-25210740552,-217110741120,4985924326080,16380284725440,

%U -1066531842442752,1493617498611840,249776526926340480,-1647997041357152640,-63281386481329443072

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

%H Alois P. Heinz, <a href="/A215588/b215588.txt">Table of n, a(n) for n = 0..200</a>

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

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

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

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

%Y Cf. A215586, A215683.

%K sign

%O 0,4

%A _Michel Lagneau_, Aug 16 2012