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A234131
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T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
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9
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91, 469, 469, 2413, 4757, 2413, 12457, 47933, 47933, 12457, 64441, 484731, 951709, 484731, 64441, 333883, 4909103, 19007583, 19007583, 4909103, 333883, 1731979, 49779251, 380250439, 753253097, 380250439, 49779251, 1731979, 8992639
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OFFSET
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1,1
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COMMENTS
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Table starts
.....91......469.......2413.........12457...........64441............333883
....469.....4757......47933........484731.........4909103..........49779251
...2413....47933.....951709......19007583.......380250439........7615879723
..12457...484731...19007583.....753253097.....29939517797.....1191882104721
..64441..4909103..380250439...29939517797...2369586581169...188019423921117
.333883.49779251.7615879723.1191882104721.188019423921117.29777695096321851
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 10*a(n-1) -24*a(n-2) -18*a(n-3) +57*a(n-4) +54*a(n-5) +12*a(n-6)
k=2: [order 14]
k=3: [order 27]
k=4: [order 78]
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..1..1..0....3..3..2..1..1....3..2..2..2..1....3..3..4..4..4
..1..0..0..0..0....4..3..2..1..2....3..3..2..2..2....4..4..4..4..5
..1..1..1..0..1....4..3..2..1..1....2..3..2..3..2....3..3..4..5..4
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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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