login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A013100 cosh(arcsinh(x)+tan(x))=1+4/2!*x^2+24/4!*x^4+534/6!*x^6+16520/8!*x^8... 0

%I #12 Nov 01 2013 14:08:56

%S 1,4,24,534,16520,1017914,66612612,8612481206,839464647792,

%T 223263066398386,20349154329810172,15355587487339427086,

%U -408311328299061735320,2681720930486026740373066,-832148640269649203971185996,1101363338244005265784426750566

%N cosh(arcsinh(x)+tan(x))=1+4/2!*x^2+24/4!*x^4+534/6!*x^6+16520/8!*x^8...

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

%t With[{nn=40},Take[CoefficientList[Series[Cosh[ArcSinh[x]+Tan[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Feb 23 2013 *)

%K sign

%O 0,2

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

%E Checked by _N. J. A. Sloane_, Dec 17 2011

%E More terms from _Harvey P. Dale_, Feb 23 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 23 06:06 EST 2024. Contains 370267 sequences. (Running on oeis4.)