login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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

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

%S 1,221,159327,363492269,3047709295897,100540191960863826,

%T 13475932703981552094893,7453689884209460671972584992

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

%C Diagonal of A210143

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 17 2012