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A252695
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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order
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9
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46, 96, 96, 148, 142, 148, 394, 204, 204, 394, 707, 519, 134, 519, 707, 1982, 1047, 407, 407, 1047, 1982, 3703, 2719, 291, 1480, 291, 2719, 3703, 10772, 6483, 881, 2048, 2048, 881, 6483, 10772, 20437, 16887, 727, 6246, 568, 6246, 727, 16887, 20437, 60042
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OFFSET
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1,1
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COMMENTS
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Table starts
....46.....96..148....394...707...1982...3703...10772..20437...60042..115343
....96....142..204....519..1047...2719...6483...16887..42825..111655..288975
...148....204..134....407...291....881....727....2067...2067....5331....6491
...394....519..407...1480..2048...6246..12740...35128..84680..225000..573968
...707...1047..291...2048...568...4138...1276....8608...3244...18576....9144
..1982...2719..881...6246..4138..18940..25382...82842.168598..474106.1144322
..3703...6483..727..12740..1276..25382...2592...51060...5944..103716...15052
.10772..16887.2067..35128..8608..82842..51060..255112.337036.1125816.2286048
.20437..42825.2067..84680..3244.168598...5944..337036..12400..675756...28596
.60042.111655.5331.225000.18576.474106.103716.1125816.675756.3480808.4572432
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..480
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 13] for n>14
k=2: [order 10] for n>11
k=3: [order 9] for n>10
k=4: [order 10] for n>11
k=5: [order 9] for n>10
k=6: [order 10] for n>11
k=7: [order 9] for n>10
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..0..1..0..1....0..1..0..1..0..1....0..1..1..2..2..1....0..1..1..0..0..1
..2..3..2..3..2..3....2..3..2..3..2..3....2..3..3..0..0..3....2..3..3..2..2..3
..2..3..2..3..2..3....2..3..2..3..2..3....2..1..1..2..2..3....2..1..1..0..0..1
..0..1..0..1..0..1....0..1..0..1..0..1....0..3..3..0..0..1....0..3..3..2..2..1
..0..1..0..1..0..1....0..1..0..1..0..1....2..1..1..2..2..1....2..1..1..0..0..3
..2..2..3..2..3..2....3..3..2..2..3..2....2..3..3..0..0..3....2..3..3..2..2..3
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CROSSREFS
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Sequence in context: A260568 A044184 A044565 * A252688 A119417 A287767
Adjacent sequences: A252692 A252693 A252694 * A252696 A252697 A252698
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Dec 20 2014
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STATUS
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approved
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