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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A246195 Number of endofunctions on [n] where the smallest cycle length equals 8. 2
 5040, 362880, 18144000, 804988800, 34488115200, 1482082842240, 65120246231040, 2955402450000000, 139296260790086400, 6837541748945107200, 349978565353512775680, 18685433917574232157440, 1040347501174674201600000, 60368458528123335777196800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 8,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 8..200 FORMULA a(n) ~ (exp(-363/140) - exp(-761/280)) * n^n. - Vaclav Kotesovec, Aug 21 2014 MAPLE with(combinat): b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i>n, 0, add((i-1)!^j*multinomial(n, n-i*j, i\$j)/j!* b(n-i*j, i+1), j=0..n/i))) end: A:= (n, k)-> add(binomial(n-1, j-1)*n^(n-j)*b(j, k), j=0..n): a:= n-> A(n, 8) -A(n, 9): seq(a(n), n=8..25); CROSSREFS Column k=8 of A246049. Sequence in context: A179062 A342075 A055362 * A246615 A291114 A246218 Adjacent sequences: A246192 A246193 A246194 * A246196 A246197 A246198 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 18 2014 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 June 17 11:15 EDT 2024. Contains 373445 sequences. (Running on oeis4.)