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A188981
T(n,k)=Number of nXk array permutations with each element moved but moved no more than a city block distance of two
6
0, 1, 1, 2, 9, 2, 4, 116, 116, 4, 6, 900, 7264, 900, 6, 13, 7836, 295264, 295264, 7836, 13, 24, 71865, 12838276, 54113236, 12838276, 71865, 24, 45, 640513, 577290185, 10523263424, 10523263424, 577290185, 640513, 45, 84, 5706113, 25631148992
OFFSET
1,4
COMMENTS
Table starts
...0........1.............2...............4................6...............13
...1........9...........116.............900.............7836............71865
...2......116..........7264..........295264.........12838276........577290185
...4......900........295264........54113236......10523263424....2184414516364
...6.....7836......12838276.....10523263424....9562891914304.9298230791255360
..13....71865.....577290185...2184414516364.9298230791255360
..24...640513...25631148992.446454227170968
..45..5706113.1136766429824
..84.51056136
.160
LINKS
EXAMPLE
Some solutions for 5X3
..1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4
..6..2.11....5..6..7....6..8..2....6..8..2....5..3.11....6..5..8....5..2..3
.12..3..5...12..3..2....3.11.14...12..9..5....8.10..2....9..3..2....8.10.14
.13..9..7...11.13..9...13.12..5....3..7.10...13..7..9...10.14..7...11..6.13
.14.10..8...14.10..8....9..7.10...14.11.13....6.14.12...13.12.11....9..7.12
CROSSREFS
Column 1 is A033305
Sequence in context: A248695 A221139 A217273 * A277754 A112537 A165715
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 14 2011
STATUS
approved