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A013279 cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7... 0

%I #7 Feb 04 2015 10:04:32

%S 1,0,0,0,3,-30,180,-945,7245,-79380,822150,-7952175,92151675,

%T -1325674350,19070251200,-264982843125,4134370865625,-74940979113000,

%U 1376877670418250,-24833523534694875,487380405271134375

%N cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...

%F a(n) ~ n! * (-1)^n * (sqrt(2)-1)/2. - _Vaclav Kotesovec_, Feb 04 2015

%t CoefficientList[Series[Cosh[ArcSinh[x] - Log[1 + x]], {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Feb 04 2015 *)

%K sign

%O 0,5

%A Patrick Demichel (patrick.demichel(AT)hp.com)

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