A189155 Number of nX3 binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.

8, 64, 512, 3375, 21952, 140608, 884736, 5545233, 34645976, 216000000, 1345572864, 8377795791, 52145952256, 324525966848, 2019487744000, 12566456507249, 78194107594728, 486552055503808, 3027480871826944, 18837870152811039

Offset: 1

Author

R. H. Hardin Apr 17 2011

Keywords

• nonn

Comments

Column 3 of A189161

Examples

			Some solutions for 4X3
..0..0..1....1..0..1....0..0..0....0..1..1....1..1..0....1..0..0....0..0..1
..0..0..0....0..1..0....0..0..0....1..0..1....0..1..0....0..1..1....1..0..0
..0..1..0....0..0..1....0..0..0....0..0..0....1..0..0....1..1..0....0..0..1
..0..0..0....1..0..0....0..1..1....0..1..0....1..1..0....0..1..1....0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Crossrefs

A008937(n+1)^3

Formula

Empirical: a(n) = 7*a(n-1) -a(n-2) +a(n-3) -164*a(n-4) +28*a(n-5) +68*a(n-6) +684*a(n-7) +66*a(n-8) +66*a(n-9) -726*a(n-10) -138*a(n-11) -132*a(n-12) +220*a(n-13) +20*a(n-14) +28*a(n-15) -25*a(n-16) -a(n-17) -a(n-18) +a(n-19)