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A223652 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 13
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Sequence in context: A197023 A096418 A100811 * A077383 A084492 A327762
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 25 2013
STATUS
approved

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Last modified April 22 06:15 EDT 2024. Contains 371887 sequences. (Running on oeis4.)