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%I #23 Jan 29 2019 10:36:20
%S 1,1,2,6,24,120,720,5040,40320,287280,1865520,11345160,66349464,
%T 381523758,2193664790,12764590275,75796724309,455383613924,
%U 2750869551868,16635586999056,100439873614656,604666567043712,3629299734118656,21736009354060800,130082373922081536
%N Number of permutations of length n within distance 7.
%C 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
%H Alois P. Heinz, <a href="/A154656/b154656.txt">Table of n, a(n) for n = 0..1000</a> (terms n=1..400 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.
%Y Column k=7 of A306209.
%K nonn,easy
%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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