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R. H. Hardin, <a href="/A219410/b219410.txt">Table of n, a(n) for n = 1..110</a>

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T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array

1, 2, 1, 4, 7, 1, 7, 28, 21, 1, 12, 98, 181, 65, 1, 21, 351, 1199, 1180, 200, 1, 37, 1261, 8173, 14737, 7687, 616, 1, 65, 4523, 57097, 193116, 181089, 50077, 1897, 1, 114, 16233, 398375, 2633596, 4560446, 2225293, 326233, 5842, 1, 200, 58268, 2773933

1,2

Table starts

.1......2..........4............7.............12..............21

.1......7.........28...........98............351............1261

.1.....21........181.........1199...........8173...........57097

.1.....65.......1180........14737.........193116.........2633596

.1....200.......7687.......181089........4560446.......121641579

.1....616......50077......2225293......107701719......5618116265

.1...1897.....326233.....27345143.....2543481662....259468310384

.1...5842....2125270....336026564....60067211485..11983486642214

.1..17991...13845268...4129209727..1418553120783.553453107750115

.1..55405...90196219..50741147949.33500701298909

.1.170625..587591326.623524656508

.1.525456.3827916001

Some solutions for n=3 k=4

..0..0..1..1....1..1..0..1....0..0..0..0....0..0..1..1....1..1..1..0

..1..1..0..0....1..0..0..0....1..0..0..0....1..0..0..0....0..0..0..1

..1..1..1..1....0..0..1..1....0..0..1..1....1..1..0..1....1..0..0..1

Column 2 is A218836

Row 1 is A005251(n+2)

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nonn,tabl

R. H. Hardin Nov 19 2012

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