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

1,1

Comments

Column 3 of A232376

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)

Example

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

Crossrefs

Sequence in context: A137046 A104335 A156494 * A114878 A368353 A131359

Adjacent sequences: A232368 A232369 A232370 * A232372 A232373 A232374

Keyword

nonn

Author

R. H. Hardin, Nov 23 2013

Status

approved