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%I #23 Jan 29 2019 10:36:27
%S 1,1,2,6,24,120,720,5040,40320,362880,2943360,21898800,152622000,
%T 1017952680,6623303544,42700751022,276054834902,1805409270031,
%U 12020754177001,80930279045116,548117873866228,3720269813727312,25239622338694272,170893063638209664
%N Number of permutations of length n within distance 8.
%C a(n) equals the permanent of the n X n matrix with 1's along the central seventeen diagonals, and 0's everywhere else. - _John M. Campbell_, Jul 10 2011
%H Alois P. Heinz, <a href="/A154657/b154657.txt">Table of n, a(n) for n = 0..800</a> (terms n=1..177 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-A154656.
%Y Column k=8 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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