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Number of 5Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order
1

%I #4 Dec 03 2013 21:26:12

%S 136,9842,875165,77824814,6938214854,618844579511,55204524946337,

%T 4924730456325950,439332915121147814,39192753113196729071,

%U 3496374576586734284957,311910622275336283545350

%N Number of 5Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order

%C Row 5 of A233082

%H R. H. Hardin, <a href="/A233086/b233086.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 132*a(n-1) -4507*a(n-2) +66832*a(n-3) -492772*a(n-4) +1765654*a(n-5) -2023881*a(n-6) -4686284*a(n-7) +16006509*a(n-8) -16068834*a(n-9) +5437152*a(n-10) for n>14

%e Some solutions for n=2

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

%e ..1..1....3..2....1..3....1..3....3..3....1..1....3..1....3..2....1..0....1..1

%e ..0..1....3..1....2..0....3..3....3..1....0..0....1..0....2..2....1..0....3..2

%e ..0..1....1..3....2..2....3..3....0..1....0..0....0..0....0..1....1..1....2..2

%e ..3..2....2..0....0..2....3..2....3..2....0..1....0..2....3..1....1..0....3..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013