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A186482
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
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10
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256, 205, 205, 1098, 362, 1098, 1251, 701, 701, 1251, 4895, 2049, 4686, 2049, 4895, 5955, 3442, 4810, 4810, 3442, 5955, 20079, 8223, 20224, 16762, 20224, 8223, 20079, 27101, 14492, 21760, 25633, 25633, 21760, 14492, 27101, 84228, 35081, 82632, 67714
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OFFSET
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1,1
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COMMENTS
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Table starts
....256....205...1098....1251....4895....5955...20079....27101....84228
....205....362....701....2049....3442....8223...14492....35081....64280
...1098....701...4686....4810...20224...21760...82632...101108...344804
...1251...2049...4810...16762...25633...67714..101305...286290...456113
...4895...3442..20224...25633..107353..108025..433513...479785..1793817
...5955...8223..21760...67714..108025..305089..418177..1286113..1812049
..20079..14492..82632..101305..433513..418177.1849873..1894849..7687009
..27101..35081.101108..286290..479785.1286113.1894849..5977657..8078233
..84228..64280.344804..456113.1793817.1812049.7687009..8078233.34498177
.123227.150785.465884.1219034.2226665.5368065.8602033.25049545.36618769
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..1740
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FORMULA
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Empirical, for every column: a(n)=2*a(n-1)+2*a(n-2)-6*a(n-3)+6*a(n-4)-3*a(n-5) for n>k+11
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EXAMPLE
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Some solutions for 4X3
..0..0..2....2..0..0....0..1..0....0..3..0....2..0..0....0..0..1....3..0..0
..0..0..0....0..0..0....2..0..1....1..0..3....0..2..0....0..0..0....0..3..0
..0..0..0....0..0..0....0..2..0....0..1..0....2..0..2....0..0..0....2..0..3
..3..3..3....1..0..0....1..0..2....3..0..1....0..2..0....0..0..3....0..2..1
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CROSSREFS
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Sequence in context: A188830 A103949 A057066 * A186474 A093861 A248776
Adjacent sequences: A186479 A186480 A186481 * A186483 A186484 A186485
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Feb 22 2011
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STATUS
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approved
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