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A223406
T(n,k)=Number of nXk 0..3 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
4
4, 16, 16, 36, 256, 36, 150, 1296, 1296, 150, 558, 22500, 11254, 22500, 558, 2126, 311364, 449810, 449810, 311364, 2126, 8480, 4519876, 13266784, 75789786, 13266784, 4519876, 8480, 33639, 71910400, 417523315, 8686866986, 8686866986
OFFSET
1,1
COMMENTS
Table starts
......4..........16...........36.............150..............558
.....16.........256.........1296...........22500...........311364
.....36........1296........11254..........449810.........13266784
....150.......22500.......449810........75789786.......8686866986
....558......311364.....13266784......8686866986....3454074121430
...2126.....4519876....417523315...1075376609151.1516052461806611
...8480....71910400..14781272688.158639905687500
..33639..1131582321.521262156765
.131920.17402886400
.540025
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..0..3..2....1..3..0..3....1..3..0..2....0..0..1..2....0..2..0..2
..1..1..0..1....1..2..0..1....1..0..0..1....1..0..0..0....0..0..1..1
..1..2..0..2....1..1..0..3....3..1..1..1....3..0..2..0....2..0..3..2
CROSSREFS
Sequence in context: A341199 A072652 A058970 * A366683 A075382 A203252
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 20 2013
STATUS
approved