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A186490
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T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
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2
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4096, 1709, 1709, 33182, 4834, 33182, 23215, 9789, 9789, 23215, 275175, 49867, 269126, 49867, 275175, 217601, 91096, 144828, 144828, 91096, 217601, 2199713, 383152, 2196353, 1024481, 2196353, 383152, 2199713, 1960451, 740408, 1359050
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OFFSET
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1,1
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COMMENTS
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Table starts
.....4096.....1709.....33182.....23215.....275175.....217601.....2199713
.....1709.....4834......9789.....49867......91096.....383152......740408
....33182.....9789....269126....144828....2196353....1359050....17630852
....23215....49867....144828...1024481....1510299....8146732....11226859
...275175....91096...2196353...1510299...21122896...11602073...169362234
...217601...383152...1359050...8146732...11602073...70300633....84490329
..2199713...740408..17630852..11226859..169362234...84490329..1381305433
..1960451..3134584..12757534..66448348..106808569..574957529...742720601
.17761659..6273818.142040510..97175595.1363387642..722990905.11158847769
.17610501.25715484.117448824.541063232.1001273881.4662288121..7072233273
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LINKS
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FORMULA
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Empirical, for every column: a(n)=2*a(n-1)+6*a(n-2)-14*a(n-3)+14*a(n-4)-7*a(n-5) for n>k+13
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EXAMPLE
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Some solutions for 4X3
..0..5..0....2..6..0....0..0..0....5..0..3....5..1..0....0..0..7....3..1..0
..5..0..5....4..0..6....0..0..0....0..5..0....2..0..1....0..0..0....0..0..1
..0..5..0....0..4..0....4..0..0....1..0..5....0..2..0....7..0..0....0..0..0
..5..0..5....1..0..4....0..4..1....0..1..0....3..0..2....0..7..4....2..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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