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!)
A291114 Number of endofunctions on [n] such that the LCM of their cycle lengths equals eight. 2
0, 0, 0, 0, 0, 0, 0, 0, 5040, 408240, 22680000, 1105196400, 51492672000, 2386304640720, 112267476921600, 5422473658602000, 270574193944454400, 13996921541118516000, 752006571801610245120, 41994571006059763946400, 2437848824911611890688000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..387

FORMULA

a(n) ~ (4*exp(15/8) - 3*exp(7/4)) * n^(n-1). - Vaclav Kotesovec, Aug 18 2017

MAPLE

b:= proc(n, m) option remember; (k-> `if`(m>k, 0,

      `if`(n=0, `if`(m=k, 1, 0), add(b(n-j, ilcm(m, j))

       *binomial(n-1, j-1)*(j-1)!, j=1..n))))(8)

    end:

a:= n-> add(b(j, 1)*n^(n-j)*binomial(n-1, j-1), j=0..n):

seq(a(n), n=0..22);

CROSSREFS

Column k=8 of A222029.

Sequence in context: A055362 A246195 A246615 * A246218 A178140 A180369

Adjacent sequences:  A291111 A291112 A291113 * A291115 A291116 A291117

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 17 2017

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 May 28 04:02 EDT 2022. Contains 354112 sequences. (Running on oeis4.)