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Number of (n+2)X(n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order
0

%I #4 Dec 20 2014 18:06:37

%S 39,46,62,97,147,262,373,586,1012,1422,2208,3820,5248,8236,14216,

%T 19372,30744,53228,72248,116140,201800,273772,444936,775948,1053448,

%U 1726732

%N Number of (n+2)X(n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Diagonal of A252719

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2014