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Number of (n+1)X(n+1) 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order
0

%I #5 Mar 31 2012 12:37:34

%S 7,2520,7380816,178971208720,35812807522735456,

%T 59168572189285825092176,807064033391096001306908915584,

%U 90885346773699848753942253937462269824

%N Number of (n+1)X(n+1) 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

%C Diagonal of A210413

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2012