A232071 Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.

46, 520, 6624, 82996, 1043172, 13105012, 164650280, 2068621706, 25989674166, 326528021922, 4102419848778, 51541819920986, 647559075731254, 8135777066019200, 102215953652767856, 1284216749830662044

Offset: 1

Author

R. H. Hardin, Nov 17 2013

Keywords

• nonn

Comments

Column 3 of A232076

Examples

			Some solutions for n=4
..0..1..1..1....0..1..1..1....0..0..1..0....0..0..0..0....0..0..1..1
..1..0..1..1....1..0..0..0....1..1..0..1....0..1..0..0....0..1..1..1
..0..0..0..1....0..1..1..1....1..0..1..1....1..1..0..0....1..1..0..0
..0..1..1..0....0..1..0..0....1..1..1..0....1..1..0..0....0..1..1..1
..1..1..0..1....1..0..0..0....1..1..0..0....1..0..0..0....0..0..0..1
		

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +33*a(n-2) +6*a(n-3) -176*a(n-4) -300*a(n-5) -15*a(n-6) -76*a(n-7) +79*a(n-8) +72*a(n-9) -16*a(n-10)