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A251442
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements
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8
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192, 2312, 2312, 27486, 86930, 27486, 327033, 3204536, 3204536, 327033, 3888017, 119053429, 360591824, 119053429, 3888017, 46227589, 4414109389, 41060404870, 41060404870, 4414109389, 46227589, 549607078, 163787201307, 4653177899915
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OFFSET
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1,1
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COMMENTS
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Table starts
.....192.......2312.........27486...........327033.............3888017
....2312......86930.......3204536........119053429..........4414109389
...27486....3204536.....360591824......41060404870.......4653177899915
..327033..119053429...41060404870...14434973166138....5038742133151250
.3888017.4414109389.4653177899915.5038742133151250.5400094007696295470
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 10]
k=2: [order 41]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..0..1..3....0..0..0..0..3....0..0..0..2..1....0..0..0..1..2
..0..2..0..1..3....0..0..0..3..3....0..2..2..0..1....0..0..0..1..3
..0..0..0..2..1....0..2..3..0..1....0..0..1..1..0....0..0..1..1..2
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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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