A232333 - OEIS

%I #8 Oct 04 2018 11:50:23

%S 16,162,1470,13170,117690,1047700,9298730,82332898,727588212,

%T 6419787202,56572605706,498017769108,4380455260922,38503151114834,

%U 338244048166260,2970058795869778,26069751578988858,228757355654899732

%N 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.

%H R. H. Hardin, <a href="/A232333/b232333.txt">Table of n, a(n) for n = 1..210</a>

%F 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.

%F 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

%e Some solutions for n=4:

%e ..0..1..2..0..1..2....2..1..2..0..1..2....2..1..2..1..0..2....2..0..1..2..0..2

%e ..2..0..1..2..1..2....2..0..1..2..1..2....2..1..0..1..0..2....1..2..0..1..0..2

%e ..1..2..1..2..0..1....1..2..1..0..1..2....0..1..2..1..0..1....0..1..2..1..0..2

%e ..1..2..0..1..2..1....1..2..1..0..1..0....0..1..0..1..2..1....2..1..2..1..0..2

%Y Column 6 of A232335.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 22 2013