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 A246219 Number of endofunctions on [n] where the largest cycle length equals 9. 2
 40320, 4032000, 268329600, 15328051200, 823379356800, 43413497487360, 2298646350000000, 123818753182924800, 6837492347913427200, 388855261570122547200, 22836250136299660220160, 1386932177757615390720000, 87175183432121364413433600, 5671938409008942797114572800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 9..200 FORMULA a(n) ~ (9*exp(7129/2520) - 8*exp(761/280)) * n^(n-1). - Vaclav Kotesovec, Aug 21 2014 MAPLE with(combinat): b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 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, min(j, k)), j=0..n): a:= n-> A(n, 9) -A(n, 8): seq(a(n), n=9..25); CROSSREFS Column k=9 of A241981. Sequence in context: A246196 A246616 A291115 * A045516 A160318 A227670 Adjacent sequences:  A246216 A246217 A246218 * A246220 A246221 A246222 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 19 2014 STATUS approved

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Last modified May 17 02:55 EDT 2022. Contains 353727 sequences. (Running on oeis4.)