A223747 T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope

3, 3, 3, 9, 3, 9, 9, 9, 9, 9, 39, 9, 81, 9, 39, 43, 39, 81, 81, 39, 43, 195, 43, 1521, 81, 1521, 43, 195, 243, 195, 1849, 1521, 1521, 1849, 195, 243, 1209, 243, 38025, 1849, 144495, 1849, 38025, 243, 1209, 1539, 1209, 59049, 38025, 162583, 162583, 38025, 59049

Offset

1,1

Comments

Table starts

.....3.....3........9.......9.........39.......43.........195......243

.....3.....3........9.......9.........39.......43.........195......243

.....9.....9.......81......81.......1521.....1849.......38025....59049

.....9.....9.......81......81.......1521.....1849.......38025....59049

....39....39.....1521....1521.....144495...162583....21793395.30730023

....43....43.....1849....1849.....162583...169219....22836827.28688507

...195...195....38025...38025...21793395.22836827.26606105175

...243...243....59049...59049...30730023.28688507

..1209..1209..1461681.1461681.6934356117

..1539..1539..2368521.2368521

..8007..8007.64112049

.10557.10557

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Column 2 equals column 1 and column 4 equals column 3

Sequence in context: A180637 A362376 A201539 * A161332 A217547 A285583

Adjacent sequences: A223744 A223745 A223746 * A223748 A223749 A223750

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved