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

%I #4 Dec 02 2013 14:11:32

%S 243,486,5118,37008,316800,2515716,20706696,167584476,1367432712,

%T 11114122476,90504770460,736322452020,5993199861276,48770296532280,

%U 396915186768744,3230114185683960,26287470177830052,213931378583656296

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

%C Row 5 of A232920

%H R. H. Hardin, <a href="/A232924/b232924.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +31*a(n-2) -97*a(n-3) -163*a(n-4) +417*a(n-5) +93*a(n-6) -514*a(n-7) +192*a(n-8) +72*a(n-9) -36*a(n-10) for n>11

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013