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A204417
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T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically, exactly one way
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9
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3570, 34274, 34274, 423416, 154938, 423416, 2827014, 781884, 781884, 2827014, 22956524, 5597126, 947990, 5597126, 22956524, 254913953, 52039032, 5776350, 5776350, 52039032, 254913953, 2004465237, 395943745, 49914501, 11785518
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OFFSET
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1,1
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COMMENTS
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Table starts
........3570.......34274......423416.....2827014....22956524....254913953
.......34274......154938......781884.....5597126....52039032....395943745
......423416......781884......947990.....5776350....49914501....422397021
.....2827014.....5597126.....5776350....11785518....89459577...1122887052
....22956524....52039032....49914501....89459577...253954944...1364559057
...254913953...395943745...422397021..1122887052..1364559057...2050960896
..2004465237..2826265830..3619976949..6016853259..8802512928..13168291392
.15823989959.26252359826.29207652750.53009843553.94119917760.115434720000
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LINKS
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FORMULA
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Empirical for column k:
k=1: (order 14 recurrence)
k=2: (order 19 recurrence for n>22)
k=3: a(n) = 577*a(n-3) +63*a(n-5) -63*a(n-8) for n>16
k=4: a(n) = 577*a(n-3) for n>15
k=5: a(n) = 577*a(n-3) for n>16
k=6: a(n) = 577*a(n-3) for n>17
k=7: a(n) = 577*a(n-3) for n>18
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EXAMPLE
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Some solutions for n=3 k=3
..0..0..2..2..2....2..2..0..0..2....0..0..2..0..1....1..2..2..1..0
..0..1..0..1..2....2..1..0..1..0....0..0..0..1..0....0..0..1..2..1
..1..2..2..1..0....0..1..2..2..1....0..1..2..2..1....0..1..2..1..2
..2..0..1..2..1....0..0..1..2..2....1..0..1..2..2....1..1..0..1..2
..0..1..2..1..2....0..1..0..1..2....0..1..0..1..2....0..0..1..2..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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