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A317902
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T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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6
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0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 4, 3, 3, 4, 0, 0, 9, 2, 13, 2, 9, 0, 0, 22, 4, 31, 31, 4, 22, 0, 0, 53, 6, 54, 29, 54, 6, 53, 0, 0, 130, 14, 116, 75, 75, 116, 14, 130, 0, 0, 320, 14, 342, 315, 167, 315, 342, 14, 320, 0, 0, 788, 22, 956, 708, 502, 502, 708, 956, 22, 788, 0
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OFFSET
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1,12
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COMMENTS
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Table starts
.0...0..0...0....0....0.....0......0......0.......0.......0........0........0
.0...1..1...2....4....9....22.....53....130.....320.....788.....1942.....4787
.0...1..1...3....2....4.....6.....14.....14......22......43.......68.......82
.0...2..3..13...31...54...116....342....956....2459....6366....16404....42964
.0...4..2..31...29...75...315....708...1978....4962...13865....38184...101161
.0...9..4..54...75..167...502...2064...5877...17008...53512...175313...540037
.0..22..6.116..315..502..3630...7770..34645...86317..320622...966922..3306875
.0..53.14.342..708.2064..7770..38448.114588..399679.1493075..5351225.18918592
.0.130.14.956.1978.5877.34645.114588.534829.1600960.7124145.24417579.99555342
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) -a(n-6)
k=3: [order 10] for n>13
k=4: [order 30] for n>34
k=5: [order 61] for n>69
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EXAMPLE
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Some solutions for n=5 k=4
..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..1..0..0..0. .1..0..0..0. .1..0..0..0. .1..0..0..0. .1..0..0..1
..0..1..1..0. .0..0..1..1. .1..0..1..0. .0..1..1..1. .0..1..0..0
..1..1..1..1. .1..1..1..0. .1..0..0..1. .1..1..1..0. .0..0..0..1
..0..0..1..0. .0..0..0..1. .1..0..1..0. .0..0..0..1. .1..1..1..0
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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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