A267662 Number of nX3 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

3, 18, 108, 453, 1800, 6654, 23967, 84552, 295176, 1023321, 3533484, 12170886, 41859891, 143844024, 494032074, 1696231551, 5822855280, 19986766938, 68599945065, 235446171408, 808076493654, 2773384864119, 9518456958738

Offset

1,1

Comments

Column 3 of A267667.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -13*a(n-2) -44*a(n-3) +135*a(n-4) +39*a(n-5) -375*a(n-6) +84*a(n-7) +461*a(n-8) -139*a(n-9) -294*a(n-10) +69*a(n-11) +98*a(n-12) -14*a(n-13) -16*a(n-14) +a(n-15) +a(n-16)

Example

Some solutions for n=8
..0..0..1....0..1..0....0..1..1....0..0..1....0..0..1....0..0..1....0..1..1
..1..0..0....1..0..1....1..0..1....1..1..0....0..1..0....0..1..0....0..0..1
..0..1..0....1..1..0....0..1..0....0..1..0....1..1..0....0..0..1....0..1..0
..1..0..1....1..0..0....1..0..1....1..0..0....0..0..1....1..1..0....1..0..1
..1..0..0....1..1..0....1..0..0....0..1..0....0..1..0....0..1..0....0..1..0
..1..1..0....1..0..1....1..0..1....0..1..0....1..0..0....0..0..1....1..0..1
..1..0..0....1..1..0....0..1..1....0..1..0....0..1..0....0..1..0....0..1..0
..1..0..1....1..0..1....1..0..0....0..1..1....1..0..1....0..1..1....1..0..1

Crossrefs

Cf. A267667.

Sequence in context: A025595 A151331 A137962 * A169604 A081341 A355353

Adjacent sequences: A267659 A267660 A267661 * A267663 A267664 A267665

Keyword

nonn

Author

R. H. Hardin, Jan 19 2016

Status

approved