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A222969
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Table T(n,k) is the number of n X (k+1) 0..1 arrays with every row least squares fitting to a positive-slope straight line and every column least squares fitting to a zero- or positive-slope straight line, with a single point array taken as having zero slope, read by antidiagonals downward.
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10
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1, 2, 1, 6, 3, 1, 12, 16, 6, 1, 28, 48, 96, 10, 1, 54, 185, 576, 314, 20, 1, 119, 534, 5180, 3140, 1884, 36, 1, 230, 1873, 28836, 53292, 37680, 7344, 74, 1, 488, 5397, 222887, 487830, 1492176, 264384, 46512, 137, 1, 948, 17853, 1241310, 6811479, 26342820
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OFFSET
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1,2
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COMMENTS
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Table starts
1 2 6 12 28 54 119
1 3 16 48 185 534 1873
1 6 96 576 5180 28836 222887
1 10 314 3140 53292 487830 6811479
1 20 1884 37680 1492176 26342820 810566001
1 36 7344 264384 21852384 677339136 41252032201
1 74 46512 3441888 687269268 41972251734 5815321906009
1 137 199912 27387944 11877013537 1306606331404 370184972397123
1 282 1281096 361269072 379255412732 82298403509112
1 536 6018524 3225928864 7601814965106
1 1100 38837844 42721628400
1 2117 192182076
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LINKS
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EXAMPLE
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Some solutions for n=3, k=4:
0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1
0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 1
0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 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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