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

1,1

Comments

Column 3 of A267719.

Links

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

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)

Example

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

Crossrefs

Cf. A267719.

Sequence in context: A207462 A086113 A207903 * A207747 A208023 A207961

Adjacent sequences: A267711 A267712 A267713 * A267715 A267716 A267717

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved