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Number of (n+1)X(5+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 08:27:17

%S 33,180,1588,15384,151357,1570792,16473680,177642195,1920518549,

%T 20952334810,228794829726,2505743010503,27449552608573,

%U 300988474137363,3300615286219904,36205445389700199,397157101842232961

%N Number of (n+1)X(5+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 5 of A231363

%H R. H. Hardin, <a href="/A231360/b231360.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013