A188689 Number of nX3 binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally.

7, 49, 218, 857, 3609, 15942, 69852, 302053, 1305379, 5658937, 24549216, 106431608, 461300682, 1999592300, 8668312567, 37577096221, 162893110032, 706125302623, 3060997024742, 13269191906269, 57520894059888, 249348416142040

Offset: 1

Author

R. H. Hardin Apr 08 2011

Keywords

• nonn

Comments

Column 3 of A188695

Examples

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

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +21*a(n-3) +9*a(n-4) -23*a(n-5) +45*a(n-6) -57*a(n-7) -112*a(n-8) +55*a(n-9) +93*a(n-10) -3*a(n-11) -27*a(n-12) -4*a(n-13) -6*a(n-14)