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

1,1

Links

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

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

Example

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

Crossrefs

Column 6 of A232335.

Sequence in context: A211558 A333062 A208311 * A091363 A225897 A275231

Adjacent sequences: A232330 A232331 A232332 * A232334 A232335 A232336

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved