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A154658 Number of permutations of length n within distance 9. 6


%S 1,1,2,6,24,120,720,5040,40320,362880,3628800,33022080,277280640,

%T 2184341040,16427628720,119892387720,861175365144,6157828055310,

%U 44222780245622,321113303226243,2369364111428885,17667206334000068,132553643382927196,997400200347756816

%N Number of permutations of length n within distance 9.

%C 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

%H Alois P. Heinz, <a href="/A154658/b154658.txt">Table of n, a(n) for n = 0..400</a> (terms n=1..45 from R. H. Hardin)

%H Torleiv Kløve, <a href="http://www.ii.uib.no/publikasjoner/texrap/pdf/2008-376.pdf">Spheres of Permutations under the Infinity Norm - Permutations with limited displacement</a>, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

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

%Y Column k=9 of A306209.

%K nonn

%O 0,3

%A _Torleiv Kløve_, Jan 13 2009

%E a(0)=1 prepended by _Alois P. Heinz_, Jan 28 2019

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Last modified December 16 09:06 EST 2019. Contains 330020 sequences. (Running on oeis4.)