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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 R. H. Hardin, Table of n, a(n) for n = 1..96 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 Adjacent sequences: A223649 A223650 A223651 * A223653 A223654 A223655 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.)