This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A013299 -sinh(log(x+1)-arctanh(x)) = 1/2!*x^2 + 6/4!*x^4 + 135/6!*x^6 + 6300/8!*x^8 + ... 1
 1, 6, 135, 6300, 496125, 58939650, 9833098275, 2191376187000, 628651043645625, 225615874552818750, 99022807341232149375, 52176017395434685252500, 32501310835906189355203125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of degree-2n permutations without odd cycles and with odd number of even cycles, offset 1. E.g.f.: x^2/(2*sqrt(1-x^2)). - Vladeta Jovovic, Aug 10 2007 LINKS FORMULA a(n) ~ (2*n)^(2*n+2)/exp(2*n). - Vaclav Kotesovec, Oct 24 2013 MATHEMATICA nn = 30; Select[Range[0, nn]! CoefficientList[Series[Sinh[Log[1/(1 - x^2)^(1/2)]], {x, 0, nn}], x], # > 0 &]  (* Geoffrey Critzer, Jan 15 2012 *) With[{nn=30}, Take[-CoefficientList[Series[Sinh[Log[x+1]-ArcTanh[x]], {x, 0, nn}], x] Range[0, nn]!, {3, -1, 2}]] (* Harvey P. Dale, Oct 30 2013 *) CROSSREFS Cf. A013302. Sequence in context: A050281 A096756 A241999 * A013295 A214132 A196703 Adjacent sequences:  A013296 A013297 A013298 * A013300 A013301 A013302 KEYWORD nonn AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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

Last modified September 19 15:31 EDT 2019. Contains 327199 sequences. (Running on oeis4.)