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 A219410 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 13

%I #4 Nov 19 2012 15:22:04

%S 1,2,1,4,7,1,7,28,21,1,12,98,181,65,1,21,351,1199,1180,200,1,37,1261,

%T 8173,14737,7687,616,1,65,4523,57097,193116,181089,50077,1897,1,114,

%U 16233,398375,2633596,4560446,2225293,326233,5842,1,200,58268,2773933

%N 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

%C Table starts

%C .1......2..........4............7.............12..............21

%C .1......7.........28...........98............351............1261

%C .1.....21........181.........1199...........8173...........57097

%C .1.....65.......1180........14737.........193116.........2633596

%C .1....200.......7687.......181089........4560446.......121641579

%C .1....616......50077......2225293......107701719......5618116265

%C .1...1897.....326233.....27345143.....2543481662....259468310384

%C .1...5842....2125270....336026564....60067211485..11983486642214

%C .1..17991...13845268...4129209727..1418553120783.553453107750115

%C .1..55405...90196219..50741147949.33500701298909

%C .1.170625..587591326.623524656508

%C .1.525456.3827916001

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

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A218836

%Y Row 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 19 2012

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Last modified September 18 14:15 EDT 2024. Contains 376000 sequences. (Running on oeis4.)