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Number of 2nX2n 0..4 arrays with values 0..4 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors
0

%I #5 Mar 31 2012 12:36:34

%S 1,5,1675,14520192,1683040515731

%N Number of 2nX2n 0..4 arrays with values 0..4 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors

%C Diagonal of A198253

%e Some solutions for n=3

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

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

%e ..1..1..2..2..3..3....1..1..2..2..3..3....3..3..2..2..4..4....1..1..0..0..2..2

%e ..1..1..2..2..3..3....1..1..2..2..3..3....3..3..2..2..4..4....1..1..0..0..2..2

%e ..4..4..0..0..4..4....2..2..0..0..4..4....4..4..0..0..3..3....2..2..3..3..1..1

%e ..4..4..0..0..4..4....2..2..0..0..4..4....4..4..0..0..3..3....2..2..3..3..1..1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 22 2011