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A261113
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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 00010001 00010101 or 01010101
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9
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28, 33, 33, 63, 52, 63, 97, 106, 106, 97, 183, 206, 278, 206, 183, 289, 402, 566, 566, 402, 289, 547, 790, 1408, 1498, 1408, 790, 547, 865, 1546, 2902, 3908, 3908, 2902, 1546, 865, 1639, 3026, 7284, 10268, 13040, 10268, 7284, 3026, 1639, 2593, 5928, 14942
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OFFSET
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1,1
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COMMENTS
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Table starts
...28....33....63.....97.....183......289.......547.......865.......1639
...33....52...106....206.....402......790......1546......3026.......5928
...63...106...278....566....1408.....2902......7284.....14942......37432
...97...206...566...1498....3908....10268.....27030.....70980.....186290
..183...402..1408...3908...13040....35934....121313....333722....1122579
..289...790..2902..10268...35934...127038....449132...1582692....5580762
..547..1546..7284..27030..121313...449132...2037285...7510472...33972401
..865..3026.14942..70980..333722..1582692...7510472..35551388..168309738
.1639..5928.37432.186290.1122579..5580762..33972401.168309738.1021480084
.2593.11610.76838.489516.3092874.19696792.125487988.797425262.5068545938
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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) +3*a(n-2) -3*a(n-3) for n>6
k=2: a(n) = a(n-1) +2*a(n-3) +2*a(n-4) +2*a(n-5) +a(n-6) for n>7
k=3: a(n) = 3*a(n-2) +10*a(n-4) +5*a(n-6) +2*a(n-8) -2*a(n-10) +a(n-12) for n>13
k=4: [order 13] for n>14
k=5: [order 24] for n>25
k=6: [order 27] for n>28
k=7: [order 48] for n>49
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..0..1..0..0....1..0..0..0..1..0....0..0..1..0..1..0....0..1..0..1..0..1
..1..0..1..0..0..0....0..1..0..1..0..0....0..1..0..1..0..1....1..0..1..0..1..0
..0..1..0..1..0..1....1..0..1..0..1..0....1..0..1..0..1..0....0..0..0..1..0..0
..1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..0..1....1..0..1..0..1..0
..0..1..0..0..0..1....1..0..0..0..1..0....1..0..1..0..1..0....0..1..0..1..0..1
..0..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..0..0....0..0..1..0..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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