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A223195
T(n,k)=Number of nXk 0..2 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative
9
3, 9, 9, 16, 81, 16, 50, 256, 256, 50, 138, 2500, 1138, 2500, 138, 387, 19044, 20016, 20016, 19044, 387, 1143, 149769, 252544, 1133664, 252544, 149769, 1143, 3402, 1306449, 3407893, 41164952, 41164952, 3407893, 1306449, 3402, 9948, 11573604
OFFSET
1,1
COMMENTS
Table starts
.....3.........9..........16............50............138.............387
.....9........81.........256..........2500..........19044..........149769
....16.......256........1138.........20016.........252544.........3407893
....50......2500.......20016.......1133664.......41164952......1615611339
...138.....19044......252544......41164952.....3815358480....386807892609
...387....149769.....3407893....1615611339...386807892609.103879396217927
..1143...1306449....52906752...76015542500.49198404222036
..3402..11573604...807057750.3621550793604
..9948..98962704.12038960562
.30747.945378009
.90018
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..0..0..2....1..1..0..1....1..1..0..0....1..2..1..2....1..0..1..1
..1..0..1..0....0..0..1..1....1..0..0..0....0..1..0..1....1..1..0..0
..1..1..2..2....2..2..2..2....2..1..0..1....0..0..0..2....2..2..0..1
CROSSREFS
Sequence in context: A110759 A063750 A143225 * A203600 A099720 A183149
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 18 2013
STATUS
approved