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Number of (n+1)X3 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:36:58

%S 55,1135,23815,500095,10501975,220541455,4631370535,97258781215,

%T 2042434405495,42891122515375,900713572822855,18914985029279935,

%U 397214685614878615,8341508397912450895,175171676356161468775

%N Number of (n+1)X3 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 2 of A203878

%H R. H. Hardin, <a href="/A203872/b203872.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 54*21^(n-1) +1

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012