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!)
A013265 Expansion of e.g.f. tanh(log(x+1) - sinh(x)). 0

%I #13 Aug 03 2018 04:23:26

%S 0,0,-1,1,-6,23,-90,509,-1960,7251,27720,-1167421,20353608,-322757359,

%T 4828920096,-72221046535,1088176720800,-16527535024457,

%U 253611377594496,-3894220888850401,59159990565014280

%N Expansion of e.g.f. tanh(log(x+1) - sinh(x)).

%e -(1/2!)*x^2 + (1/3!)*x^3 - (6/4!)*x^4 + (23/5!)*x^5 - ...

%t With[{nn=20},Drop[CoefficientList[Series[Tanh[Log[x+1]-Sinh[x]],{x,0,nn}],x] Range[0,nn]!,2]] (* _Harvey P. Dale_, May 24 2017 *)

%o (PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(tanh(log(x+1) - sinh(x))))) \\ _Michel Marcus_, Aug 03 2018

%K sign

%O 0,5

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

%E a(0)=a(1)=0 inserted and title improved by _Sean A. Irvine_, Aug 02 2018

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 April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)