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A215681 n-th derivative of sech(x)^tan(x) at x=0. 1

%I #6 Aug 20 2012 17:11:08

%S 1,0,0,-3,0,-10,90,-308,1680,-13560,123480,-788568,7646760,-76432720,

%T 841320480,-8436217208,103473901440,-1320024546240,17546621595840,

%U -235942960528128,3481689023521920,-54132188358133120,858287202343992960,-14187715233218409728

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

%C sech(x) = 1/cosh(x).

%F E.g.f.: sech(x)^tan(x).

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

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

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

%Y Cf. A215585, A215587.

%K sign

%O 0,4

%A _Michel Lagneau_, Aug 20 2012

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Last modified July 15 16:36 EDT 2024. Contains 374333 sequences. (Running on oeis4.)