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A154658 Number of permutations of length n within distance 9. 6
1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 33022080, 277280640, 2184341040, 16427628720, 119892387720, 861175365144, 6157828055310, 44222780245622, 321113303226243, 2369364111428885, 17667206334000068, 132553643382927196, 997400200347756816 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..400 (terms n=1..45 from R. H. Hardin)

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.

CROSSREFS

Cf. A000045, A002524, A002526, A072856, A154654-A154657.

Column k=9 of A306209.

Sequence in context: A273697 A177281 A173850 * A179369 A267390 A193937

Adjacent sequences:  A154655 A154656 A154657 * A154659 A154660 A154661

KEYWORD

nonn

AUTHOR

Torleiv Kløve, Jan 13 2009

EXTENSIONS

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

STATUS

approved

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Last modified November 14 20:11 EST 2019. Contains 329129 sequences. (Running on oeis4.)