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A009197 Expansion of exp(log(1+x)/cosh(x)). 2

%I #13 Jul 02 2015 12:46:32

%S 1,1,0,-3,-6,35,135,-476,-6300,14349,298515,254056,-26673042,

%T -26975169,1931306377,16803854768,-336040323112,-1435742838615,

%U 20743481564487,843925791375728,-11354618863953550,-37784454009996005

%N Expansion of exp(log(1+x)/cosh(x)).

%H Vaclav Kotesovec, <a href="/A009197/b009197.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) ~ n! * (-1)^n / (GAMMA(-1/cosh(1)) * n^(1+1/cosh(1))). - _Vaclav Kotesovec_, Jul 02 2015

%t CoefficientList[Series[Exp[Log[1+x]/Cosh[x]], {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jul 02 2015 *)

%K sign,easy

%O 0,4

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)