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Number of 5Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally
1

%I #4 Dec 05 2013 05:58:15

%S 243,1536,15552,157464,1658232,17587584,187446312,2000708640,

%T 21367730664,228251103552,2438324338248,26048163809952,

%U 278268995799144,2972714012485056,31757156984626632,339258043287199008

%N Number of 5Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally

%C Row 5 of A233155

%H R. H. Hardin, <a href="/A233158/b233158.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -64*a(n-2) +76*a(n-3) +17*a(n-4) -84*a(n-5) +48*a(n-6) -8*a(n-7) for n>11

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 05 2013