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A253740
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically
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9
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218, 720, 720, 2212, 1888, 2212, 6932, 4100, 4100, 6932, 22236, 9876, 7216, 9876, 22236, 70372, 25012, 17608, 17608, 25012, 70372, 222820, 60296, 44332, 54688, 44332, 60296, 222820, 706884, 148328, 102616, 143080, 143080, 102616, 148328
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OFFSET
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1,1
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COMMENTS
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Table starts
.....218.....720....2212.....6932....22236.....70372.....222820......706884
.....720....1888....4100.....9876....25012.....60296.....148328......369360
....2212....4100....7216....17608....44332....102616.....243796......599920
....6932....9876...17608....54688...143080....345304.....922004.....2750948
...22236...25012...44332...143080...400068...1059528....3230352....10458356
...70372...60296..102616...345304..1059528...3369876...11094376....37875928
..222820..148328..243796...922004..3230352..11094376...40265740...158864740
..706884..369360..599920..2750948.10458356..37875928..158864740...774250356
.2242532..917504.1495128..7532104.31345596.127687424..622829668..3357130068
.7110804.2284292.3650772.19629020.90751832.433506104.2349461712.13604064576
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 14] for n>15
k=2: [order 55] for n>60
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EXAMPLE
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Some solutions for n=4 k=4
..1..1..1..0..1..1....1..1..0..1..0..0....0..0..0..1..0..0....0..1..0..0..0..1
..0..1..0..1..0..1....1..0..1..0..1..1....1..0..0..0..1..0....0..0..1..0..1..0
..1..0..1..1..1..0....0..1..1..1..0..1....0..1..0..0..0..0....0..0..0..1..0..0
..0..1..1..1..0..1....1..1..1..0..1..0....1..0..1..0..1..0....1..0..0..0..1..0
..1..0..1..0..1..1....0..1..0..1..0..1....0..1..0..1..0..0....0..1..0..0..0..1
..0..0..0..0..0..0....0..0..0..0..0..1....1..0..0..0..1..0....0..1..1..0..0..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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