This site is supported by donations to The OEIS Foundation.

 Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A053499 Number of degree-n permutations of order dividing 9. 3
 1, 1, 1, 3, 9, 21, 81, 351, 1233, 46089, 434241, 2359611, 27387801, 264333213, 1722161169, 16514298711, 163094452641, 1216239520401, 50883607918593, 866931703203699, 8473720481213481, 166915156382509221, 2699805625227141201, 28818706120636531023, 439756550972215638129, 6766483260087819272601, 77096822666547068590401, 3568144263578808757678251 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Differs from A218003 first at n=27. - Alois P. Heinz, Jan 25 2014 REFERENCES R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Example 5.2.10. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..200 L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. J. Math., 7 (1955), 159-168. FORMULA E.g.f.: exp(x+1/3*x^3+1/9*x^9). MAPLE a:= proc(n) option remember; `if`(n<0, 0, `if`(n=0, 1,        add(mul(n-i, i=1..j-1)*a(n-j), j=[1, 3, 9])))     end: seq(a(n), n=0..25);  # Alois P. Heinz, Feb 14 2013 MATHEMATICA CoefficientList[Series[Exp[x+x^3/3+x^9/9], {x, 0, 23}], x]*Range[0, 23]! (* Jean-François Alcover, Mar 24 2014 *) CROSSREFS Cf. A000085, A001470, A001472, A053495-A053505, A005388, A261429. Column k=9 of A008307. Sequence in context: A318843 A001470 A118932 * A218003 A146909 A146248 Adjacent sequences:  A053496 A053497 A053498 * A053500 A053501 A053502 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 15 2000 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 December 11 17:01 EST 2018. Contains 318049 sequences. (Running on oeis4.)