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A223179 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with all rows and columns having a strictly positive second derivative in a quadratic least squares fit 4
0, 0, 0, 0, 4, 0, 0, 40, 40, 0, 0, 348, 2076, 348, 0, 0, 1200, 48316, 48316, 1200, 0, 0, 16348, 620568, 2485972, 620568, 16348, 0, 0, 94364, 14777316, 76317552, 76317552, 14777316, 94364, 0, 0, 524292, 246091276, 3171271500, 6269400000, 3171271500 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Table starts
.0........0............0..............0................0.................0
.0........4...........40............348.............1200.............16348
.0.......40.........2076..........48316...........620568..........14777316
.0......348........48316........2485972.........76317552........3171271500
.0.....1200.......620568.......76317552.......6269400000......591850045248
.0....16348.....14777316.....3171271500.....591850045248...104799995226404
.0....94364....246091276...115722707546...50320121297406.17691602460630154
.0...524292...3081824360..2886324889628.2512348229420136
.0..2621432..43744483080.88035882884812
.0.16536796.658808677292
.0.84487288
LINKS
EXAMPLE
Some solutions for n=2 k=4
..1..1..1..0..1..1....1..1..1..1..0..1....1..1..1..1..0..1....1..0..1..1..1..1
..0..1..0..0..0..1....1..0..1..0..0..0....1..0..0..0..0..0....0..0..0..0..1..1
..1..0..1..0..0..0....0..0..0..0..0..1....0..0..0..0..0..1....1..0..1..0..0..0
..1..1..1..1..0..1....1..0..1..1..1..1....1..0..0..1..1..1....1..1..1..0..1..1
CROSSREFS
Sequence in context: A181204 A191417 A307050 * A278272 A192057 A054376
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 17 2013
STATUS
approved

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Last modified April 12 16:49 EDT 2024. Contains 371635 sequences. (Running on oeis4.)