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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A012944 E.g.f.: arctanh(tan(x)+sin(x))=2*x+17/3!*x^3+865/5!*x^5+109007/7!*x^7... 0
 2, 17, 865, 109007, 25619185, 9676271447, 5360201676505, 4094035686738287, 4123461735603625825, 5295201587012317791527, 8444330016251458512555145, 16372171162004294836053543167 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..11. FORMULA a(n) ~ (2*n)! / (arctan((1-sqrt(2) + sqrt(2*sqrt(2)-1)) / (sqrt(2)-1 + sqrt(2*sqrt(2)-1))))^(2*n+1). - Vaclav Kotesovec, Feb 05 2015 MATHEMATICA With[{nn=30}, Take[CoefficientList[Series[ArcTanh[Tan[x]+Sin[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jun 26 2012 *) CROSSREFS Sequence in context: A268270 A167436 A015189 * A013099 A013060 A012988 Adjacent sequences: A012941 A012942 A012943 * A012945 A012946 A012947 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) EXTENSIONS Definition clarified by Harvey P. Dale, Jun 26 2012 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.

Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)