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A260475
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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 00000000 00000001 or 00010101
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9
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34, 49, 49, 103, 92, 103, 205, 213, 213, 205, 414, 471, 658, 471, 414, 840, 1085, 1723, 1723, 1085, 840, 1716, 2562, 4607, 5034, 4607, 2562, 1716, 3477, 5891, 13198, 15502, 15502, 13198, 5891, 3477, 7049, 13530, 36254, 51552, 57524, 51552, 36254, 13530
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OFFSET
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1,1
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COMMENTS
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Table starts
....34....49....103.....205......414.......840.......1716........3477
....49....92....213.....471.....1085......2562.......5891.......13530
...103...213....658....1723.....4607.....13198......36254.......98246
...205...471...1723....5034....15502.....51552.....161176......500384
...414..1085...4607...15502....57524....228287.....839073.....3095233
...840..2562..13198...51552...228287...1095328....4771920....20881559
..1716..5891..36254..161176...839073...4771920...24138984...123310754
..3477.13530..98246..500384..3095233..20881559..123310754...741446708
..7049.31372.272542.1604536.11809031..95279821..662480793..4709379069
.14293.72451.752720.5086798.44303443.425856847.3462881003.28931302958
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 12] for n>13
k=2: [order 16] for n>17
k=3: [order 19] for n>22
k=4: [order 28] for n>32
k=5: [order 42] for n>47
k=6: [order 50] for n>57
k=7: [order 65] for n>76
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..1..0..1..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..1..0..1..0..0....0..0..1..0..0..0....0..0..0..1..0..0....0..0..0..0..1..0
..0..0..0..0..1..0....0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..0
..0..0..0..1..0..1....0..0..0..0..0..0....1..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..1..0..0..0..0....0..0..0..1..0..0....0..0..0..0..0..0
..1..0..0..0..0..1....1..0..0..0..1..0....0..0..0..0..0..0....0..1..0..0..0..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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