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A250982
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements
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9
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71, 562, 562, 4459, 12077, 4459, 35381, 260056, 260056, 35381, 280728, 5598430, 15156945, 5598430, 280728, 2227408, 120515358, 883387252, 883387252, 120515358, 2227408, 17673153, 2594308975, 51487962431, 139471732486, 51487962431
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OFFSET
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1,1
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COMMENTS
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Table starts
.......71.........562............4459..............35381.................280728
......562.......12077..........260056............5598430..............120515358
.....4459......260056........15156945..........883387252............51487962431
....35381.....5598430.......883387252.......139471732486.........22020178055066
...280728...120515358.....51487962431.....22020178055066.......9416933752243198
..2227408..2594308975...3000977166321...3476591604928509....4027179649653568467
.17673153.55847243498.174911850250602.548891857207523016.1722239421934657361988
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..180
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FORMULA
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Empirical for column k:
k=1: a(n) = 9*a(n-1) -10*a(n-2) +13*a(n-3) -6*a(n-4) +a(n-5)
k=2: [order 14]
k=3: [order 34]
k=4: [order 97]
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..1..1..0....0..0..2..2..0....0..0..1..1..2....0..0..2..1..1
..0..1..0..1..1....0..1..1..2..1....0..1..2..0..1....0..1..1..1..1
..0..1..1..2..2....0..1..1..0..0....0..1..1..1..2....0..1..1..1..2
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CROSSREFS
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Sequence in context: A268889 A142432 A341426 * A250975 A209960 A209953
Adjacent sequences: A250979 A250980 A250981 * A250983 A250984 A250985
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Nov 29 2014
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STATUS
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approved
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