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 A216800 T(n,k)=Number of permutations of an nXk array with each element moving exactly one horizontally or vertically and without 2-loops 7
 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 6, 0, 6, 0, 0, 10, 8, 8, 10, 0, 0, 22, 0, 88, 0, 22, 0, 0, 42, 32, 292, 292, 32, 42, 0, 0, 86, 0, 1774, 0, 1774, 0, 86, 0, 0, 170, 128, 7676, 10140, 10140, 7676, 128, 170, 0, 0, 342, 0, 39844, 0, 207408, 0, 39844, 0, 342, 0, 0, 682, 512, 186996 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....0....0........0.........0............0..............0.................0 .0....2....2........6........10...........22.............42................86 .0....2....0........8.........0...........32..............0...............128 .0....6....8.......88.......292.........1774...........7676.............39844 .0...10....0......292.........0........10140..............0............361200 .0...22...32.....1774.....10140.......207408........1879040..........27918806 .0...42....0.....7676.........0......1879040..............0.........489300384 .0...86..128....39844....361200.....27918806......489300384.......22902801416 .0..170....0...186996.........0....302667484..............0......539812977524 .0..342..512...927134..12911864...3991662992...129127695440....20296105418276 .0..682....0..4460016.........0..46492284664..............0...550843711073468 .0.1366.2048.21812696.461788640.585384941184.34175930646380.18708387030790218 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 EXAMPLE Some solutions for n=4 k=4 ..1..5..3..7....1..5..3..7....4..0..1..2....1..5..3..7....4..0..1..2 ..0..9..2..6....0..4..2..6....8..6..7..3....0..4..2..6....5..6..7..3 ..4.13.11.15....9.13.11.15...12..5..9.10...12..8.14.10...12..8..9.10 ..8.12.10.14....8.12.10.14...13.14.15.11...13..9.15.11...13.14.15.11 CROSSREFS Column 2 is A014113(n-1) Diagonal is A216678 Sequence in context: A238707 A181111 A353856 * A230831 A230899 A230805 Adjacent sequences: A216797 A216798 A216799 * A216801 A216802 A216803 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 17 2012 STATUS approved

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Last modified September 26 00:10 EDT 2023. Contains 365649 sequences. (Running on oeis4.)