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A029577 Number of permutations of an n-set containing a 10-cycle. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 362880, 3991680, 47900160, 622702080, 8717829120, 130767436800, 2092278988800, 35568742809600, 640237370572800, 12164510040883200, 231125690776780800, 4853639506312396800, 106780069138872729600, 2455941590194072780800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..450

FORMULA

a(n) = n! (1 - sum_{k=0}^floor[ n/10 ] (-1)^k/(k!10^k)); a(n)/n! is asymptotic to 1-e^(-1/10).

E.g.f.: (1-exp(-x^10/10))/(1-x). - Alois P. Heinz, Oct 11 2017

CROSSREFS

Column k=10 of A293211.

Sequence in context: A284206 A179736 A045511 * A179967 A133360 A254082

Adjacent sequences:  A029574 A029575 A029576 * A029578 A029579 A029580

KEYWORD

nonn

AUTHOR

Rob Pratt

STATUS

approved

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Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)