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A237974
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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9
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256, 1494, 1494, 7905, 10014, 7905, 40442, 59014, 59014, 40442, 208210, 357672, 369068, 357672, 208210, 1074202, 2270776, 2609908, 2609908, 2270776, 1074202, 5540337, 14222512, 20123780, 25087700, 20123780, 14222512, 5540337, 28475040
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OFFSET
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1,1
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COMMENTS
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Table starts
.......256........1494.........7905..........40442...........208210
......1494.......10014........59014.........357672..........2270776
......7905.......59014.......369068........2609908.........20123780
.....40442......357672......2609908.......25087700........255374826
....208210.....2270776.....20123780......255374826.......3450339192
...1074202....14222512....149625960.....2480183866......43487194848
...5540337....88114176...1103412332....24232087766.....564910605674
..28475040...550642732...8201125448...242591959184....7417532096096
.146747184..3451069630..61392928964..2393881373820...95620736858354
.755218808.21560822458.454158172752.23436165715384.1224826491964084
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 488*a(n-4) +5140*a(n-6) +14624*a(n-8) +12288*a(n-10) for n>13
k=2: [order 17] for n>20
k=3: [order 48] for n>53
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EXAMPLE
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Some solutions for n=2 k=4
..1..0..1..0..2....0..1..3..3..0....0..0..1..2..0....1..1..3..0..3
..0..3..2..0..2....2..0..2..0..2....0..1..2..1..0....2..3..2..0..1
..2..1..3..1..0....2..1..1..3..3....0..2..1..0..0....3..2..1..0..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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