A232371 Number of nX3 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal.

4, 74, 586, 4550, 36574, 292122, 2324142, 18574882, 148225606, 1182879814, 9441116934, 75346596778, 601334070966, 4799220047514, 38302112010658, 305686073938078, 2439655331781498, 19470682813562030, 155393901867403394

Offset: 1

Author

R. H. Hardin, Nov 23 2013

Keywords

• nonn

Comments

Column 3 of A232376

Examples

			Some solutions for n=5
..0..3..2....2..3..0....3..0..3....3..2..0....1..0..1....3..2..1....2..3..2
..2..1..2....2..1..0....3..2..1....0..1..3....3..2..3....3..2..3....2..0..2
..0..1..0....0..1..0....3..2..3....2..1..0....1..0..1....3..0..1....3..0..1
..0..1..0....2..3..2....1..0..3....0..3..0....3..0..3....3..0..1....1..2..3
..2..3..0....0..1..0....3..2..1....0..1..2....3..2..3....3..2..1....1..2..1
		

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +17*a(n-2) +74*a(n-3) +170*a(n-4) +1012*a(n-5) +2868*a(n-6) +3592*a(n-7) +4816*a(n-8) +5356*a(n-9) +6245*a(n-10) +4504*a(n-11) +2633*a(n-12) +954*a(n-13) +756*a(n-14) +216*a(n-15)