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Number of (n+1)X(6+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order
1

%I #4 Nov 08 2013 08:27:56

%S 102,685,8664,115303,1570792,22223936,323672993,4805725804,

%T 71571627525,1071735830464,16095843573035,242009629277146,

%U 3641998054744222,54828465938427400,825694677116247205,12435572502065482292

%N Number of (n+1)X(6+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Column 6 of A231363

%H R. H. Hardin, <a href="/A231361/b231361.txt">Table of n, a(n) for n = 1..72</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013