A232333 Number of n X 6 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal.

16, 162, 1470, 13170, 117690, 1047700, 9298730, 82332898, 727588212, 6419787202, 56572605706, 498017769108, 4380455260922, 38503151114834, 338244048166260, 2970058795869778, 26069751578988858, 228757355654899732

Offset: 1

Author

R. H. Hardin, Nov 22 2013

Keywords

• nonn

Examples

			Some solutions for n=4:
..0..1..2..0..1..2....2..1..2..0..1..2....2..1..2..1..0..2....2..0..1..2..0..2
..2..0..1..2..1..2....2..0..1..2..1..2....2..1..0..1..0..2....1..2..0..1..0..2
..1..2..1..2..0..1....1..2..1..0..1..2....0..1..2..1..0..1....0..1..2..1..0..2
..1..2..0..1..2..1....1..2..1..0..1..0....0..1..0..1..2..1....2..1..2..1..0..2
		

Links

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

Crossrefs

Column 6 of A232335.

Formula

Empirical: a(n) = 16*a(n-1) -60*a(n-2) -47*a(n-3) +92*a(n-4) +448*a(n-5) +448*a(n-6) +256*a(n-7) for n>9.

Empirical g.f.: 2*x*(8 - 47*x - 81*x^2 + 61*x^3 + 656*x^4 + 939*x^5 + 468*x^6 - 112*x^7 - 64*x^8) / (1 - 16*x + 60*x^2 + 47*x^3 - 92*x^4 - 448*x^5 - 448*x^6 - 256*x^7). - Colin Barker, Oct 04 2018