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

%I #4 Nov 09 2013 06:55:27

%S 2485,46075,741430,16471575,367351650,9081622778,223553038538,

%T 5678180654925,143922487591986,3680614506034764,94046852351683612,

%U 2409348290814958899,61708652891870503946,1581705773877065958324

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

%C Row 6 of A231451

%H R. H. Hardin, <a href="/A231456/b231456.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013