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

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 equals column 1 and column 4 equals column 3