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A189280 T(n,k)=Number of nXk array permutations with each element not moved or moved diagonally or antidiagonally by one 8

%I

%S 1,1,1,1,4,1,1,9,9,1,1,25,45,25,1,1,64,225,225,64,1,1,169,1125,2704,

%T 1125,169,1,1,441,5625,29241,29241,5625,441,1,1,1156,28125,323761,

%U 670480,323761,28125,1156,1,1,3025,140625,3553225,15594601,15594601,3553225

%N T(n,k)=Number of nXk array permutations with each element not moved or moved diagonally or antidiagonally by one

%C Table starts

%C .1....1.......1..........1.............1................1...................1

%C .1....4.......9.........25............64..............169.................441

%C .1....9......45........225..........1125.............5625...............28125

%C .1...25.....225.......2704.........29241...........323761.............3553225

%C .1...64....1125......29241........670480.........15594601...........361199937

%C .1..169....5625.....323761......15594601........787195249.........39085685401

%C .1..441...28125....3553225.....361199937......39085685401.......4145792570105

%C .1.1156..140625...39100009....8366395024....1949419118656.....441979857682489

%C .1.3025..703125..429981696..193788877917...97069135502689...47045498167288233

%C .1.7921.3515625.4729725529.4488512569321.4835817858602025.5009341586507664025

%H R. H. Hardin, <a href="/A189280/b189280.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for 5X3

%e ..0..5..4....0..5..2....0..5..2....0..3..2....0..1..4....0..1..2....0..5..4

%e ..3..2..1....3..6..1....3..8..1....1..6..5....3..2..5....7..4..5....3..2..1

%e ..6.11..8....4..9..8...10.11..4....4..9..8...10.11..8....6..3.10....6.11..8

%e ..7.14.13....7.14.13....7..6.13....7.10.13....9..6..7...13..8.11....9.10..7

%e .12..9.10...12.11.10...12..9.14...12.11.14...12.13.14...12..9.14...12.13.14

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Apr 19 2011

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Last modified June 12 06:52 EDT 2021. Contains 344943 sequences. (Running on oeis4.)