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A250707
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
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16
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100, 654, 536, 3674, 4958, 2435, 19876, 37892, 30719, 10050, 102963, 253578, 301632, 160486, 38431, 521684, 1578385, 2492054, 2003383, 735523, 138957, 2597784, 9240474, 18235293, 19962956, 11250902, 3020711, 480846, 12791393, 52069631
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OFFSET
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1,1
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COMMENTS
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Table starts
......100.......654........3674........19876........102963.........521684
......536......4958.......37892.......253578.......1578385........9240474
.....2435.....30719......301632......2492054......18235293......122690762
....10050....160486.....2003383.....19962956.....171212264.....1307242006
....38431....735523....11250902....133888216....1325146542....11455263558
...138957...3020711....55337801....770143684....8760011881....85271480338
...480846..11354082...242456834...3888150856...50308117796...550734848033
..1607723..39603227...965170215..17539038598..256524870716..3145868632088
..5230029.129764854..3536263608..71841461103.1177985177929.16145490726264
.16642735.403049071.12071431807.270529260362.4941673178715.75408944337595
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 16]
k=2: [order 30]
k=3: [order 43] for n>44
k=4: [order 42] for n>47
k=5: [order 46] for n>57
k=6: [order 48] for n>65
k=7: [order 50] for n>73
Empirical for row n:
n=1: [linear recurrence of order 16]
n=2: [order 29] for n>34
n=3: [order 65] for n>70
n=4: [order 93] for n>100
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..1..2....0..0..1..1..3....0..0..0..1..1....0..0..0..0..0
..1..1..2..2..3....0..0..1..2..2....0..1..0..1..2....0..0..0..0..3
..0..3..2..3..3....0..2..2..2..2....2..0..2..1..2....1..1..3..3..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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