A223048 T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope

3, 6, 6, 18, 20, 18, 45, 120, 120, 45, 141, 536, 2160, 536, 141, 386, 3378, 24120, 24120, 3378, 386, 1191, 17362, 476298, 570915, 476298, 17362, 1191, 3402, 108534, 6701732, 28942155, 28942155, 6701732, 108534, 3402, 10446, 597935, 129263994, 932439860

Offset

1,1

Comments

Table starts

.....3.......6.........18..........45..........141..........386...........1191

.....6......20........120.........536.........3378........17362.........108534

....18.....120.......2160.......24120.......476298......6701732......129263994

....45.....536......24120......570915.....28942155....932439860....46018580355

...141....3378.....476298....28942155...4832534313.441127163210.70296226768557

...386...17362....6701732...932439860.441127163210

..1191..108534..129263994.46018580355

..3402..597935.2034174870

.10446.3721248

.30294

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=4
..0..2..0..1....0..1..0..2....0..1..0..1....0..0..1..2....0..0..0..2
..0..1..1..0....1..1..1..2....1..0..1..1....0..0..2..0....1..2..2..1
..1..2..0..2....1..2..0..2....0..2..0..2....1..0..1..2....2..0..2..2

Crossrefs

Sequence in context: A370154 A265026 A304335 * A319446 A181372 A168426

Adjacent sequences: A223045 A223046 A223047 * A223049 A223050 A223051

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2013

Status

approved