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A184457
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T(n,k)=1/36 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last
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10
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63, 234, 234, 864, 600, 864, 3159, 1591, 1591, 3159, 12879, 4517, 3125, 4517, 12879, 51759, 16029, 6880, 6880, 16029, 51759, 203391, 58413, 20706, 11766, 20706, 58413, 203391, 898857, 216477, 67180, 28668, 28668, 67180, 216477, 898857, 3877551
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OFFSET
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1,1
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COMMENTS
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Table starts
.......63......234......864.....3159...12879...51759.203391..898857.3877551
......234......600.....1591.....4517...16029...58413.216477..930657.3947025
......864.....1591.....3125.....6880...20706...67180.232326..967138.4023354
.....3159.....4517.....6880....11766...28668...80058.253176.1011114.4109928
....12879....16029....20706....28668...53350..116832.309042.1119528.4313386
....51759....58413....67180....80058..116832..196974.413100.1288638
...203391...216477...232326...253176..309042..413100.660654
...898857...930657...967138..1011114.1119528.1288638
..3877551..3947025..4023354..4109928.4313386
.16120377.16260821.16410550.16573530
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LINKS
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FORMULA
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Empirical for columns 2 to at least 4: a(n)=6*a(n-1)-11*a(n-2)+195*a(n-3)-1134*a(n-4)+2079*a(n-5)-11600*a(n-6)+62796*a(n-7)-115126*a(n-8)+263520*a(n-9)-1204344*a(n-10)+2207964*a(n-11)-2907648*a(n-12)+10219824*a(n-13)-18736344*a(n-14)+17243280*a(n-15)-42140736*a(n-16)+77258016*a(n-17)-55857600*a(n-18)+82301184*a(n-19)-150885504*a(n-20)+92378880*a(n-21)-60466176*a(n-22)+110854656*a(n-23)-60466176*a(n-24)
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EXAMPLE
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Some solutions with a(1,1)=0 for 5X4
..0..2..1..0....0..1..2..0....0..1..0..2....0..2..0..0....0..1..2..0
..2..2..0..2....0..0..1..2....0..1..2..0....1..0..2..1....2..0..1..2
..2..1..2..2....2..0..0..0....2..0..0..0....0..0..1..0....2..2..2..2
..1..0..2..1....1..2..0..1....0..0..1..2....0..2..0..0....1..2..0..1
..2..2..0..2....0..1..0..2....1..0..2..1....2..1..0..2....1..2..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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