A232312 Number of (n+1)X(4+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

52, 853, 14042, 231454, 3815483, 62897985, 1036869496, 17092731689, 281772661177, 4645005493684, 76572638191385, 1262295368124753, 20808863766803180, 343032876614802177, 5654876487122281889

Offset: 1

Author

R. H. Hardin, Nov 22 2013

Keywords

• nonn

Comments

Column 4 of A232316

Examples

			Some.solutions.for.n=3
..0..0..0..1..1....0..0..1..1..1....0..0..0..1..1....0..0..1..0..1
..1..1..1..0..1....0..0..1..1..0....0..0..1..1..1....0..1..0..1..1
..0..0..0..1..1....0..0..0..0..0....0..0..1..1..0....1..1..1..0..0
..0..0..1..1..1....1..1..0..0..0....0..0..1..0..0....0..0..0..0..0
		

Links

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

Formula

Empirical: a(n) = 19*a(n-1) -44*a(n-2) +43*a(n-3) -19*a(n-4) +4*a(n-5) -2*a(n-6) for n>7