A267714 Number of nX3 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

6, 36, 102, 270, 546, 1080, 1866, 3186, 5010, 7830, 11550, 17004, 23934, 33726, 45786, 62364, 82254, 109008, 140406, 181890, 229674, 291852, 362346, 452862, 554106, 682578, 824622, 1002960, 1198182, 1440930, 1704378, 2029080, 2378838, 2806428

Offset: 1

Author

R. H. Hardin, Jan 19 2016

Keywords

• nonn

Comments

Column 3 of A267719.

Examples

			Some solutions for n=5
..0..1..1....0..1..1....0..0..1....1..1..0....1..0..0....1..0..0....1..0..0
..1..0..0....1..0..0....0..1..0....0..0..1....1..0..1....0..1..1....0..1..1
..0..1..1....1..1..0....1..0..1....0..1..0....0..1..1....1..0..0....1..0..1
..1..0..1....0..0..1....0..1..1....1..0..1....1..1..0....0..1..0....0..1..0
..0..1..0....1..1..0....1..1..0....1..1..0....0..0..1....0..0..1....0..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Cf. A267719.

Formula

Empirical: a(n) = 2*a(n-1) +4*a(n-2) -10*a(n-3) -5*a(n-4) +20*a(n-5) -20*a(n-7) +5*a(n-8) +10*a(n-9) -4*a(n-10) -2*a(n-11) +a(n-12)