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A154654 Number of permutations of length n within distance 5. 7
1, 2, 6, 24, 120, 720, 3720, 17304, 76110, 329462, 1441923, 6487445, 29555588, 135025756, 615260976, 2791161792, 12618600768, 57008446080, 257708989200, 1166042944564, 5279435858788, 23908888017477, 108262665958797 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) equals the permanent of the n X n matrix with 1's along the eleven central diagonals and 0's everywhere else. - John M. Campbell, Jul 10 2011

LINKS

R. H. Hardin, Table of n, a(n) for n=1..400, Jul 11 2010

Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

FORMULA

G.f. is a rational function f(x)/g(x) where f has degree 132 and g has degree 142.

CROSSREFS

Cf. A000045, A002524, A002526, A072856.

Sequence in context: A274795 A174702 A173846 * A189862 A189863 A179343

Adjacent sequences:  A154651 A154652 A154653 * A154655 A154656 A154657

KEYWORD

nonn

AUTHOR

Torleiv Kløve, Jan 13 2009

STATUS

approved

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Last modified July 21 04:27 EDT 2017. Contains 289632 sequences.