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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.

%I A219410 #6 Jul 23 2025 00:25:51
%S A219410 1,2,1,4,7,1,7,28,21,1,12,98,181,65,1,21,351,1199,1180,200,1,37,1261,
%T A219410 8173,14737,7687,616,1,65,4523,57097,193116,181089,50077,1897,1,114,
%U A219410 16233,398375,2633596,4560446,2225293,326233,5842,1,200,58268,2773933
%N 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.
%C A219410 Table starts
%C A219410 .1......2..........4............7.............12..............21
%C A219410 .1......7.........28...........98............351............1261
%C A219410 .1.....21........181.........1199...........8173...........57097
%C A219410 .1.....65.......1180........14737.........193116.........2633596
%C A219410 .1....200.......7687.......181089........4560446.......121641579
%C A219410 .1....616......50077......2225293......107701719......5618116265
%C A219410 .1...1897.....326233.....27345143.....2543481662....259468310384
%C A219410 .1...5842....2125270....336026564....60067211485..11983486642214
%C A219410 .1..17991...13845268...4129209727..1418553120783.553453107750115
%C A219410 .1..55405...90196219..50741147949.33500701298909
%C A219410 .1.170625..587591326.623524656508
%C A219410 .1.525456.3827916001
%H A219410 R. H. Hardin, <a href="/A219410/b219410.txt">Table of n, a(n) for n = 1..110</a>
%e A219410 Some solutions for n=3 k=4
%e A219410 ..0..0..1..1....1..1..0..1....0..0..0..0....0..0..1..1....1..1..1..0
%e A219410 ..1..1..0..0....1..0..0..0....1..0..0..0....1..0..0..0....0..0..0..1
%e A219410 ..1..1..1..1....0..0..1..1....0..0..1..1....1..1..0..1....1..0..0..1
%Y A219410 Column 2 is A218836
%Y A219410 Row 1 is A005251(n+2)
%K A219410 nonn,tabl
%O A219410 1,2
%A A219410 _R. H. Hardin_ Nov 19 2012