login
Number of (n+2)X(n+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order
0

%I #4 Dec 26 2014 12:53:07

%S 130,540,1750,5860,25601,115438,620736,3167807,17606301,98882069,

%T 733424153,4422336009

%N Number of (n+2)X(n+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Diagonal of A253044

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2014