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 A154654 Number of permutations of length n within distance 5. 10
 1, 1, 2, 6, 24, 120, 720, 3720, 17304, 76110, 329462, 1441923, 6487445, 29555588, 135025756, 615260976, 2791161792, 12618600768, 57008446080, 257708989200, 1166042944564, 5279435858788, 23908888017477, 108262665958797, 490132089640318, 2218641353956314 (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 eleven central diagonals and 0's everywhere else. - John M. Campbell, Jul 10 2011 LINKS 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. FORMULA G.f. is a rational function f(x)/g(x) where f has degree 132 and g has degree 142. CROSSREFS Cf. A000045, A002524, A002526, A072856. Column k=5 of A306209. Sequence in context: A274795 A174702 A173846 * A189862 A189863 A293776 Adjacent sequences:  A154651 A154652 A154653 * A154655 A154656 A154657 KEYWORD nonn,easy 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 January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)