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A255101
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T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1.
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9
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36, 77, 77, 179, 189, 179, 419, 539, 539, 419, 991, 1475, 1838, 1475, 991, 2345, 4075, 6110, 6110, 4075, 2345, 5537, 11573, 20928, 25413, 20928, 11573, 5537, 13105, 32627, 72639, 106848, 106848, 72639, 32627, 13105, 31063, 91821, 250704, 454332, 554091
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OFFSET
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1,1
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COMMENTS
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Table starts
....36.....77......179.......419........991........2345.........5537
....77....189......539......1475.......4075.......11573........32627
...179....539.....1838......6110......20928.......72639.......250704
...419...1475.....6110.....25413.....106848......454332......1933924
...991...4075....20928....106848.....554091.....2926453.....15422602
..2345..11573....72639....454332....2926453....19198366....125525340
..5537..32627...250704...1933924...15422602...125525340...1018478173
.13105..91821...868395...8248373...81332263...822095802...8275662960
.31063.259851..3018347..35227773..430226255..5400253601..67453730450
.73591.734851.10479598.150417081.2275433973.35458215276.549630067102
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 11] for n > 12;
k=2: [order 14];
k=3: [order 29] for n > 31;
k=4: [order 46] for n > 50;
k=5: [order 83] for n > 88.
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EXAMPLE
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Some solutions for n=4, k=4
..1..0..1..1..1..1....0..1..1..0..1..1....1..1..1..1..1..0....1..1..1..1..0..1
..1..1..1..0..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..0..1..1..1..0
..0..1..1..1..1..1....1..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..1..1
..1..1..1..1..1..1....1..1..1..1..1..1....1..0..1..1..1..1....1..1..1..1..1..1
..1..0..1..1..1..1....0..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..1..1
..1..1..1..1..1..0....1..1..0..1..1..0....1..1..0..1..1..1....1..1..1..1..0..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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