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A223652
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T(n,k)=Number of (n+2)Xk 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative
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13
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3, 9, 5, 9, 25, 13, 35, 43, 169, 27, 77, 229, 343, 729, 60, 207, 799, 5751, 1973, 3600, 119, 513, 3237, 40981, 78213, 10425, 14161, 251, 1415, 16975, 427313, 1044311, 1059839, 64669, 63001, 477, 4009, 58813, 4854187, 22982345, 24559913, 13505813, 347013
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OFFSET
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1,1
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COMMENTS
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Table starts
....3........9.........9...........35............77............207
....5.......25........43..........229...........799...........3237
...13......169.......343.........5751.........40981.........427313
...27......729......1973........78213.......1044311.......22982345
...60.....3600.....10425......1059839......24559913.....1119629805
..119....14161.....64669.....13505813.....569451603....50246141433
..251....63001....347013....172509399...13134713511..2434395476789
..477...227529...1639675...1684095249..219299436501.75307144658325
.1001..1002001...8731185..20632590041.4713184697381
.2011..4044121..47326725.242227127509
.4034.16273156.233731602
.7901.62425801
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..0..1....1..1..1..1....1..1..0..1....0..0..0..1....1..1..0..1
..0..0..0..0....1..1..1..1....0..0..1..1....0..0..0..0....1..0..1..1
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..1..1..1..1....0..0..0..0....0..0..0..0....1..1..0..1....0..1..0..1
..0..0..1..1....0..0..1..1....1..1..1..1....1..1..1..1....1..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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