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R. H. Hardin, <a href="/A219741/b219741.txt">Table of n, a(n) for n = 1..337</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, vertical or antidiagonal neighbor in a random 0..1 nXk array

1, 2, 2, 4, 6, 4, 7, 13, 13, 7, 12, 28, 42, 28, 12, 21, 60, 126, 126, 60, 21, 37, 129, 387, 524, 387, 129, 37, 65, 277, 1180, 2229, 2229, 1180, 277, 65, 114, 595, 3606, 9425, 13322, 9425, 3606, 595, 114, 200, 1278, 11012, 39905, 78661, 78661, 39905, 11012, 1278, 200

1,2

Table starts

...1.....2......4........7.........12...........21.............37

...2.....6.....13.......28.........60..........129............277

...4....13.....42......126........387.........1180...........3606

...7....28....126......524.......2229.........9425..........39905

..12....60....387.....2229......13322........78661.........466288

..21...129...1180.....9425......78661.......647252........5350080

..37...277...3606....39905.....466288......5350080.......61758332

..65...595..11012...168925....2760690.....44159095......711479843

.114..1278..33636...715072...16350693....364647622.....8201909757

.200..2745.102733..3027049...96830726...3010723330....94531063074

.351..5896.313781.12813931..573456240..24858935864..1089590912023

.616.12664.958384.54243509.3396136349.205253857220.12558669019786

Some solutions for n=3 k=4

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

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

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

Column 1 is A005251(n+2)

Column 2 is A002478(n+1)

Column 3 is A105262(n+1) for n>1

Diagonal is A066864

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nonn,tabl

R. H. Hardin Nov 26 2012

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