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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 and antidiagonal neighbors, with values 0..3 introduced in row major order
1

%I #4 Nov 09 2013 06:54:49

%S 492,5643,54868,738459,9796477,144109697,2112748453,32019266420,

%T 485170357093,7429808973717,113778434951707,1748064728994801,

%U 26855530210166200,412973901119461490,6350209893633300189

%N Number of (5+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 5 of A231451

%H R. H. Hardin, <a href="/A231455/b231455.txt">Table of n, a(n) for n = 1..77</a>

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013