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A232137
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
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15
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6, 36, 44, 200, 728, 328, 1140, 10956, 14752, 2448, 6468, 169692, 602468, 298912, 18272, 36752, 2616952, 25364480, 33162868, 6056640, 136384, 208772, 40399768, 1063744484, 3795674252, 1825568436, 122721280, 1017984, 1186044, 623543776
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OFFSET
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1,1
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COMMENTS
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Table starts
.....6......36........200.........1140............6468.............36752
....44.....728......10956.......169692.........2616952..........40399768
...328...14752.....602468.....25364480......1063744484.......44671124016
..2448..298912...33162868...3795674252....433383414596....49550984711452
.18272.6056640.1825568436.568008109436.176569302110496.54960219182423136
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 8*a(n-1) -4*a(n-2)
k=2: a(n) = 22*a(n-1) -36*a(n-2) +16*a(n-3)
k=3: [order 8]
k=4: [order 14]
k=5: [order 34] for n>36
Empirical for row n:
n=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4)
n=2: [order 17]
n=3: [order 76] for n>77
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..2..0..1....0..1..2..0..1....0..1..2..1..0....0..1..2..0..0
..0..0..1..2..1....0..0..2..0..2....1..0..2..0..2....0..0..2..2..1
..1..2..1..0..2....0..2..0..1..2....1..2..1..2..0....2..0..2..1..2
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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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