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A235517
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise
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8
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16, 58, 58, 209, 382, 209, 746, 2501, 2501, 746, 2660, 16117, 29533, 16117, 2660, 9476, 103736, 343063, 343063, 103736, 9476, 33753, 666171, 3977050, 7186597, 3977050, 666171, 33753, 120216, 4277473, 45985647, 150092214, 150092214, 45985647
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OFFSET
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1,1
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COMMENTS
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Table starts
......16.........58..........209.............746...............2660
......58........382.........2501...........16117.............103736
.....209.......2501........29533..........343063............3977050
.....746......16117.......343063.........7186597..........150092214
....2660.....103736......3977050.......150092214.........5645191775
....9476.....666171.....45985647......3125826729.......211711499238
...33753....4277473....531586422.....65064307612......7934494535832
..120216...27457539...6142770286...1353709346996....297222406479878
..428160..176252122..70981491138..28162807605171..11132550506229506
.1524918.1131335938.820170288679.585865208407308.416940408877849294
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 4*a(n-1) -6*a(n-3) +a(n-4) +2*a(n-5)
k=2: [order 13]
k=3: [order 43]
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0..0....0..0..1..0..0....0..0..0..1..0....0..0..0..1..0
..0..0..1..0..1....0..1..1..1..1....1..0..1..1..0....0..0..1..1..1
..1..1..0..0..0....1..1..0..1..0....1..0..0..1..0....1..1..0..1..0
..1..0..1..0..1....1..0..1..0..0....1..1..1..1..0....1..0..1..0..1
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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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