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A154656
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Number of permutations of length n within distance 7.
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6
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1, 1, 2, 6, 24, 120, 720, 5040, 40320, 287280, 1865520, 11345160, 66349464, 381523758, 2193664790, 12764590275, 75796724309, 455383613924, 2750869551868, 16635586999056, 100439873614656, 604666567043712, 3629299734118656, 21736009354060800, 130082373922081536
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OFFSET
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0,3
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COMMENTS
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a(n) equals the permanent of the n X n matrix with 1's along the central fifteen diagonals, and 0's everywhere else. - John M. Campbell, Jul 10 2011
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..1000 (terms n=1..400 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.
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CROSSREFS
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Cf. A000045, A002524, A002526, A072856, A154654.
Column k=7 of A306209.
Sequence in context: A273695 A177279 A173848 * A179354 A179360 A179367
Adjacent sequences: A154653 A154654 A154655 * A154657 A154658 A154659
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KEYWORD
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nonn,easy
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AUTHOR
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Torleiv Kløve, Jan 13 2009
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EXTENSIONS
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a(0)=1 prepended by Alois P. Heinz, Jan 28 2019
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STATUS
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approved
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