The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A013278 arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... 0
0, 0, -1, 3, -6, 15, -150, 1575, -12600, 101115, -1103760, 14708925, -198336600, 2783105325, -43768604880, 754367488875, -13648397162400, 262037979177975, -5424089927256000, 118958487086664225 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(n) ~ (n-1)! * (-1)^(n+1) / 2 * (((2-exp(1))*exp(1))/(exp(1)-exp(2)+sqrt(2*(exp(1)-1)*exp(1))))^n. - Vaclav Kotesovec, Nov 01 2013
MATHEMATICA
CoefficientList[Series[ArcTanh[Log[x+1]-ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)
CROSSREFS
Sequence in context: A013275 A013271 A013272 * A009196 A329124 A116613
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Prepended missing a(0)=0, a(1)=0 from Vaclav Kotesovec, Nov 01 2013
STATUS
approved

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 June 15 05:55 EDT 2024. Contains 373402 sequences. (Running on oeis4.)