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A257426
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
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14
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512, 2616, 2616, 10684, 7652, 10684, 41140, 27244, 30309, 41140, 150016, 103575, 117324, 119393, 150016, 514920, 367929, 450756, 449022, 403951, 514920, 1700100, 1246585, 1557227, 1770206, 1290910, 1293242, 1700100, 5487356, 4137316, 5347670
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OFFSET
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1,1
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COMMENTS
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Table starts
......512......2616.....10684.....41140.....150016.....514920.....1700100
.....2616......7652.....27244....103575.....367929....1246585.....4137316
....10684.....30309....117324....450756....1557227....5347670....18009368
....41140....119393....449022...1770206....5985744...19771628....64652177
...150016....403951...1290910...4442466...12316842...39029574...121832476
...514920...1293242...3917190..13233402...36423140..115919394...356678661
..1700100...4098078..11883298..36058660...96141548..317271378..1037269100
..5487356..12497488..33766938..94181694..259492076..756210536..2359203628
.17402796..37528750..96478988.259847932..731002818.2131836574..7099788830
.54388900.111339861.272492320.722844592.2006564512.5828147664.18202585668
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 36]
k=2: [order 47] for n>56
k=3: [order 88] for n>94
Empirical for row n:
n=1: [same linear recurrence of order 36]
n=2: [order 54] for n>66
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0..1..1....0..0..0..0..1..1....0..0..0..1..0..0....0..0..0..0..0..0
..0..0..1..0..0..1....0..0..0..0..1..1....1..1..1..1..0..0....0..0..1..0..0..0
..1..1..1..0..1..1....0..0..0..0..0..0....0..1..0..0..1..1....1..0..0..0..1..1
..0..1..1..1..1..0....1..1..0..1..1..1....0..1..0..1..1..0....1..1..1..1..1..1
..0..1..0..0..0..1....0..0..0..1..0..0....0..1..1..1..0..1....1..1..0..1..1..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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