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A251467
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column
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8
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46, 168, 168, 602, 738, 602, 1908, 3142, 3142, 1908, 5926, 11134, 15719, 11134, 5926, 17424, 38509, 62309, 62309, 38509, 17424, 50306, 120982, 239572, 268559, 239572, 120982, 50306, 141792, 373380, 809934, 1125843, 1125843, 809934, 373380, 141792
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OFFSET
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1,1
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COMMENTS
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Table starts
......46.....168......602......1908.......5926.......17424.......50306
.....168.....738.....3142.....11134......38509......120982......373380
.....602....3142....15719.....62309.....239572......809934.....2678350
....1908...11134....62309....268559....1125843.....4053903....14306546
....5926...38509...239572...1125843....5145888....19854533....75006354
...17424..120982...809934...4053903...19854533....80967696...324243821
...50306..373380..2678350..14306546...75006354...324243821..1378354755
..141792.1094071..8222849..46070347..255126617..1156109395..5171467239
..392326.3155436.24796090.145984578..853011914..4058563375.19112759465
.1077744.8863194.71644353.437418593.2668157253.13208174936.64992838581
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 11]
k=2: [order 36]
k=3: [order 61]
k=4: [order 77]
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..0..1..1....0..1..0..1..2....0..0..0..1..0....0..0..0..0..0
..0..1..0..1..2....0..2..0..2..2....1..1..1..1..1....1..1..1..1..1
..1..0..2..0..2....0..1..0..1..2....1..0..1..2..1....0..1..2..1..2
..0..1..0..1..2....0..2..2..2..2....2..0..2..2..2....1..1..1..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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