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!)
A013242 Expansion of e.g.f. arctanh(log(x+1) - tan(x)). 0
0, 0, -1, 0, -6, 8, -150, 448, -7560, 38432, -650160, 4827328, -85887648, 855019904, -16230758544, 204362847232, -4163699379840, 63548399361536, -1392682970270592, 24960951809133568, -588583828329908480 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
EXAMPLE
-1/2!*x^2 - 6/4!*x^4 + 8/5!*x^5 - 150/6!*x^6 ...
MATHEMATICA
With[{nn=20}, Drop[CoefficientList[Series[ArcTanh[Log[x+1]-Tan[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, Aug 17 2016 *)
CROSSREFS
Sequence in context: A257869 A201387 A013236 * A169971 A295429 A267165
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018
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 5 14:10 EDT 2024. Contains 373105 sequences. (Running on oeis4.)