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A254189
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally
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14
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512, 2908, 2908, 14096, 20380, 14096, 66144, 142088, 140108, 66144, 299472, 968448, 1465824, 939056, 299472, 1303600, 6170408, 14601048, 13994248, 5818936, 1303600, 5525648, 38010356, 138055264, 199474076, 124599008, 35265504, 5525648
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OFFSET
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1,1
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COMMENTS
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Table starts
.......512........2908.........14096...........66144.............299472
......2908.......20380........142088..........968448............6170408
.....14096......140108.......1465824........14601048..........138055264
.....66144......939056......13994248.......199474076.........2761863976
....299472.....5818936.....124599008......2521994340........50440581336
...1303600....35265504....1106508576.....32048165156.......934751059040
...5525648...211785820....9808618856....406615285408.....17244253826864
..23034276..1260109624...86680216604...5135656451504....316309557137336
..94841688..7470540196..765784579880..64842235013056...5804947465146740
.386810592.44215816908.6764564938736.818830301031628.106550751458655472
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 26]
k=2: [order 51] for n>59
Empirical for row n:
n=1: [same linear recurrence of order 26]
n=2: [order 53] for n>64
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..0..0..0....0..0..0..0..1..1....0..0..0..0..0..0....0..1..0..0..1..1
..0..0..0..1..0..1....1..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0
..0..0..0..1..0..1....1..0..0..1..1..0....1..1..0..1..1..1....0..1..0..0..1..1
..0..1..1..1..1..0....1..1..1..1..0..0....0..1..1..1..1..0....0..0..0..1..1..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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