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A219106 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array.

%I A219106 #6 Jul 23 2025 00:14:24
%S A219106 1,2,2,4,11,4,7,42,42,7,12,154,288,154,12,21,582,1971,1971,582,21,37,
%T A219106 2199,13674,26145,13674,2199,37,65,8287,95146,345529,345529,95146,
%U A219106 8287,65,114,31240,660556,4591348,8647530,4591348,660556,31240,114,200,117789
%N A219106 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array.
%C A219106 Table starts
%C A219106 ...1......2........4.........7.........12..........21.........37........65
%C A219106 ...2.....11.......42.......154........582........2199.......8287.....31240
%C A219106 ...4.....42......288......1971......13674.......95146.....660556...4584620
%C A219106 ...7....154.....1971.....26145.....345529.....4591348...60957131.808775383
%C A219106 ..12....582....13674....345529....8647530...217909019.5486836181
%C A219106 ..21...2199....95146...4591348..217909019.10432278539
%C A219106 ..37...8287...660556..60957131.5486836181
%C A219106 ..65..31240..4584620.808775383
%C A219106 .114.117789.31824915
%C A219106 .200.444096
%C A219106 .351
%H A219106 R. H. Hardin, <a href="/A219106/b219106.txt">Table of n, a(n) for n = 1..70</a>
%e A219106 Some solutions for n=3 k=4
%e A219106 ..0..1..0..0....0..1..1..0....1..0..0..1....1..0..0..0....1..0..0..0
%e A219106 ..0..1..0..0....0..1..0..0....0..1..0..0....0..0..0..0....0..0..1..0
%e A219106 ..0..0..1..0....0..0..0..0....0..1..1..1....0..1..0..0....0..0..1..0
%Y A219106 Column 1 is A005251(n+2)
%K A219106 nonn,tabl
%O A219106 1,2
%A A219106 _R. H. Hardin_ Nov 11 2012