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Number of (5+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
1

%I #4 Nov 09 2013 07:32:57

%S 24,32,741,4138,42229,425678,3759661,40527272,407446601,4196157607,

%T 46093674757,485402548295,5361646541908,59171322751388,

%U 651629483926711,7324674361415032,81730192988354427,918828642319522994

%N Number of (5+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Row 5 of A231463

%H R. H. Hardin, <a href="/A231468/b231468.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013