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

%I #5 Mar 31 2012 12:37:32

%S 13,6977,63734680,7497695247894,11230410246683136735,

%T 214160856104080731185022846,51994930493116642866385994032327421,

%U 160715719061735613747680039160868439624176414

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

%C Diagonal of A210165

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2012