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Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically
2

%I #5 Mar 31 2012 12:37:16

%S 6,36,82,193,488,1087,2305,4932,10416,21716,45333,94798,198291,415803,

%T 874740,1845166,3902324,8273999,17581622,37429453,79812519,170419522,

%U 364296166,779456642,1669010171,3575965948,7665561753,16438759769

%N Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 3 of A207269

%H R. H. Hardin, <a href="/A207264/b207264.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -9*a(n-2) +12*a(n-3) -22*a(n-4) +25*a(n-5) -16*a(n-6) +21*a(n-7) -17*a(n-8) +a(n-9) -6*a(n-10) +6*a(n-11) +a(n-12) +2*a(n-13) -2*a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012