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A260544
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001
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9
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40, 75, 75, 193, 131, 193, 337, 310, 310, 337, 582, 566, 774, 566, 582, 1350, 976, 1411, 1411, 976, 1350, 2732, 2229, 2226, 2775, 2226, 2229, 2732, 5037, 4296, 5592, 4398, 4398, 5592, 4296, 5037, 10549, 7576, 11370, 10949, 9184, 10949, 11370, 7576, 10549
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OFFSET
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1,1
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COMMENTS
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Table starts
....40....75...193....337....582....1350....2732....5037....10549....21615
....75...131...310....566....976....2229....4296....7576....16060....32285
...193...310...774...1411...2226....5592...11370...18899....40776....88106
...337...566..1411...2775...4398...10949...22212...38389....86646...186223
...582...976..2226...4398...9184...21050...40916...87410...201208...402848
..1350..2229..5592..10949..21050...50674..105058..215160...491828..1049785
..2732..4296.11370..22212..40916..105058..219852..434066..1050126..2356780
..5037..7576.18899..38389..87410..215160..434066..991164..2519648..5328956
.10549.16060.40776..86646.201208..491828.1050126.2519648..6265304.13631378
.21615.32285.88106.186223.402848.1049785.2356780.5328956.13631378.31978322
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 9] for n>10
k=2: [order 13] for n>14
k=3: [order 19] for n>22
k=4: [order 27] for n>31
k=5: [order 59] for n>63
k=6: [order 91] for n>95
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..0..0..1..0....1..1..0..0..0..0....0..0..0..0..0..1....0..1..0..0..0..1
..0..0..0..0..0..0....0..1..0..0..0..0....1..1..0..0..1..0....0..1..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..1..1..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..1..1..0..0..0....1..1..0..0..1..0....0..1..0..0..1..0
..1..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..1..0....1..1..0..0..1..1
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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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