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A012694 exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10... 0

%I #8 Nov 01 2013 08:43:10

%S 1,2,0,-50,1400,-35222,94556,170807390,-38605204656,8791324177746,

%T -2481630462515900,912971947568647558,-429970979043182394888,

%U 249025730862440011229306,-171416914808317798189712276

%N exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10...

%F a(n) ~ (-1)^(n+1) * tan(1) * 2^(2*n) * n^(2*n-1) / exp(tan(1)*Pi/2 + 2*n). - _Vaclav Kotesovec_, Nov 01 2013

%t Table[n!*SeriesCoefficient[Exp[Tanh[x]*ArcSinh[x]],{x,0,n}],{n,0,40,2}] (* _Vaclav Kotesovec_, Nov 01 2013 *)

%K sign

%O 0,2

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

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Last modified June 30 09:28 EDT 2024. Contains 373866 sequences. (Running on oeis4.)