A267639 Number of nX3 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

3, 18, 51, 189, 429, 1353, 2829, 8427, 16899, 49443, 96657, 282717, 542913, 1601355, 3032535, 9058395, 16953333, 51380925, 95168013, 292791555, 537249507, 1677388467, 3051796161, 9662000493, 17443801617, 55944191787, 100303228599

Offset

1,1

Comments

Column 3 of A267644.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +16*a(n-2) -33*a(n-3) -91*a(n-4) +198*a(n-5) +216*a(n-6) -523*a(n-7) -180*a(n-8) +576*a(n-9) -180*a(n-11)

Example

Some solutions for n=6
..0..0..1....0..1..1....0..1..1....0..0..1....0..1..1....0..1..0....0..0..1
..0..0..1....1..0..0....0..1..1....0..1..1....1..0..1....0..0..1....0..1..1
..1..1..0....1..1..0....1..0..0....1..1..0....1..1..0....1..1..0....1..1..0
..1..0..1....0..1..1....0..0..1....1..0..1....0..0..1....0..1..1....1..0..0
..0..1..0....1..0..0....1..1..0....0..1..0....0..1..0....1..0..0....0..0..1
..1..0..0....0..1..1....1..0..1....1..0..0....1..0..1....0..1..1....1..1..0

Crossrefs

Cf. A267644.

Sequence in context: A304976 A364599 A064043 * A238649 A268484 A085789

Adjacent sequences: A267636 A267637 A267638 * A267640 A267641 A267642

Keyword

nonn

Author

R. H. Hardin, Jan 18 2016

Status

approved