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Number of nX2 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j)
1

%I #5 Oct 04 2013 05:42:10

%S 3,19,115,739,4679,29569,187211,1185283,7502685,47491531,300627179,

%T 1902998895,12046125511,76252939087,482687382245,3055450450511,

%U 19341249601691,122431683941789,775002524638781,4905829047952315

%N Number of nX2 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j)

%C Column 2 of A229934

%H R. H. Hardin, <a href="/A229928/b229928.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) +32*a(n-3) -a(n-4) +7*a(n-5) +43*a(n-6) +47*a(n-7) +7*a(n-8) +26*a(n-9) -13*a(n-10) +6*a(n-11) -5*a(n-12) +a(n-13)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 04 2013