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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

%I

%S 0,1,1,2,9,2,4,116,116,4,6,900,7264,900,6,13,7836,295264,295264,7836,

%T 13,24,71865,12838276,54113236,12838276,71865,24,45,640513,577290185,

%U 10523263424,10523263424,577290185,640513,45,84,5706113,25631148992

%N T(n,k)=Number of nXk array permutations with each element moved but moved no more than a city block distance of two

%C Table starts

%C ...0........1.............2...............4................6...............13

%C ...1........9...........116.............900.............7836............71865

%C ...2......116..........7264..........295264.........12838276........577290185

%C ...4......900........295264........54113236......10523263424....2184414516364

%C ...6.....7836......12838276.....10523263424....9562891914304.9298230791255360

%C ..13....71865.....577290185...2184414516364.9298230791255360

%C ..24...640513...25631148992.446454227170968

%C ..45..5706113.1136766429824

%C ..84.51056136

%C .160

%H R. H. Hardin, <a href="/A188981/b188981.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for 5X3

%e ..1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4

%e ..6..2.11....5..6..7....6..8..2....6..8..2....5..3.11....6..5..8....5..2..3

%e .12..3..5...12..3..2....3.11.14...12..9..5....8.10..2....9..3..2....8.10.14

%e .13..9..7...11.13..9...13.12..5....3..7.10...13..7..9...10.14..7...11..6.13

%e .14.10..8...14.10..8....9..7.10...14.11.13....6.14.12...13.12.11....9..7.12

%Y Column 1 is A033305

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Apr 14 2011

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Last modified October 16 09:02 EDT 2021. Contains 348041 sequences. (Running on oeis4.)