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A232414
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor
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15
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15, 159, 109, 973, 2689, 611, 6477, 44971, 48971, 3635, 46713, 876881, 2189991, 890283, 21717, 334521, 18073053, 119994763, 107913855, 16262989, 129323, 2375879, 366033741, 7049296087, 16776955943, 5322933313, 296516955, 770747
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OFFSET
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1,1
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COMMENTS
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Table starts
.....15........159............973..............6477.................46713
....109.......2689..........44971............876881..............18073053
....611......48971........2189991.........119994763............7049296087
...3635.....890283......107913855.......16776955943.........2832909399671
..21717...16262989.....5322933313.....2346397695011......1137726954093673
.129323..296516955...262249675165...327861770666547....456432801562470697
.770747.5408696699.12924602609687.45820119635323263.183153958944323007479
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 9]
k=2: [order 14]
k=3: [order 64]
Empirical for row n:
n=1: [linear recurrence of order 10]
n=2: [order 34]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..2..1....0..0..0..1..1....0..0..1..1..2....0..0..1..1..1
..0..2..2..1..1....0..2..2..2..1....0..0..2..2..2....0..1..2..1..1
..2..0..1..1..1....2..1..1..1..2....0..1..0..2..2....1..2..2..1..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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