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A234702
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T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant stress 1X1 tilings)
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6
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408, 2628, 2628, 16848, 13952, 16848, 109224, 74308, 74308, 109224, 704160, 409268, 329984, 409268, 704160, 4594320, 2261220, 1558600, 1558600, 2261220, 4594320, 29782080, 12903164, 7424496, 6480632, 7424496, 12903164, 29782080, 195532704
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OFFSET
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1,1
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COMMENTS
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Table starts
........408........2628.......16848......109224......704160.....4594320
.......2628.......13952.......74308......409268.....2261220....12903164
......16848.......74308......329984.....1558600.....7424496....37338544
.....109224......409268.....1558600.....6480632....27355272...123900992
.....704160.....2261220.....7424496....27355272...102856704...421924272
....4594320....12903164....37338544...123900992...421924272..1588256456
...29782080....73793620...189345872...568426072..1760111424..6105726016
..195532704...434990348..1006857472..2764737872..7867555584.25353440600
.1274237568..2565773508..5389971408.13583184744.35635123680
.8416415808.15562814252.30077051488.70136986928
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..96
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FORMULA
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Empirical for column k:
k=1: a(n) = 6*a(n-1) +90*a(n-2) -540*a(n-3) -2016*a(n-4) +12096*a(n-5)
k=2: [order 15]
k=3: [order 31]
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EXAMPLE
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Some solutions for n=2 k=4
..0..5..1..1..7....0..3..1..0..0....2..2..4..4..7....2..2..3..1..3
..4..4..5..0..1....6..4..7..1..6....0..5..2..7..5....6..1..7..0..7
..5..0..6..6..2....2..5..3..2..2....1..1..3..3..6....6..6..7..5..7
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CROSSREFS
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Sequence in context: A281859 A067674 A157263 * A234697 A337795 A183717
Adjacent sequences: A234699 A234700 A234701 * A234703 A234704 A234705
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Dec 29 2013
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STATUS
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approved
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