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A277767
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T(n,k)=Number of nXk 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.
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12
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0, 0, 0, 0, 1, 0, 0, 4, 2, 0, 0, 18, 17, 14, 0, 0, 80, 204, 330, 56, 0, 0, 356, 1989, 9741, 3666, 284, 0, 0, 1584, 21141, 275018, 270291, 46289, 1304, 0, 0, 7048, 220549, 7824415, 20049229, 8971150, 560809, 6248, 0, 0, 31360, 2292380, 221983169, 1487830718
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OFFSET
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1,8
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COMMENTS
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Table starts
.0......0..........0.............0.................0...................0
.0......1..........4............18................80.................356
.0......2.........17...........204..............1989...............21141
.0.....14........330..........9741............275018.............7824415
.0.....56.......3666........270291..........20049229..........1487830718
.0....284......46289.......8971150........1762881313........343944986355
.0...1304.....560809.....280603511......145416104585......74591651561541
.0...6248....6883464....8946059000....12253138042478...16513537201433122
.0..29408...84161576..283436060320..1025207978301185.3631417278822015869
.0.139472.1030163755.8998418743638.85977721285058269
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LINKS
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FORMULA
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Empirical for column k:
k=2: a(n) = 4*a(n-1) +6*a(n-2) -12*a(n-3)
k=3: [order 11]
k=4: [order 44] for n>45
Empirical for row n:
n=2: a(n) = 4*a(n-1) +2*a(n-2)
n=3: [order 18]
n=4: [order 98]
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..2..0. .0..1..2..0. .0..1..2..0. .0..1..2..0. .0..1..2..0
..2..1..1..1. .2..0..0..1. .2..2..0..1. .2..0..1..1. .2..2..1..1
..2..0..2..0. .0..1..0..2. .1..0..0..1. .0..1..2..0. .1..0..2..0
..1..2..1..0. .2..2..1..2. .2..1..2..2. .1..2..1..1. .2..0..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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