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A238515
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order
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6
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4, 25, 25, 295, 401, 295, 3113, 14407, 14407, 3113, 33837, 430504, 2074468, 430504, 33837, 365740, 13398587, 232354383, 232354383, 13398587, 365740, 3958594, 413256106, 27474561391, 91551538363, 27474561391, 413256106, 3958594
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OFFSET
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1,1
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COMMENTS
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Table starts
......4........25...........295..............3113................33837
.....25.......401.........14407............430504.............13398587
....295.....14407.......2074468.........232354383..........27474561391
...3113....430504.....232354383.......91551538363.......38584530824835
..33837..13398587...27474561391....38584530824835....58732288304220246
.365740.413256106.3210307720768.16025158797901442.87855481702558599272
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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) +13*a(n-2) -44*a(n-3) -7*a(n-4) +14*a(n-5)
k=2: [order 14]
k=3: [order 9]
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..0..2..0....0..1..0..0..2....0..1..0..2..0....0..1..1..0..2
..3..0..3..0..2....2..3..3..2..3....2..0..3..1..3....3..2..0..3..1
..0..1..2..2..3....0..1..2..0..2....3..2..1..3..2....2..3..2..2..3
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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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