A205652 Number of (n+1)X(n+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.

256, 12296, 511632, 41013960, 7578064080, 2994560119488, 2904705131186012

Offset

1,1

Comments

Diagonal of A205659.

Links

Table of n, a(n) for n=1..7.

Example

Some solutions for n=4:
..0..2..2..2..0....1..1..2..2..3....0..0..2..0..1....2..3..3..3..0
..0..1..2..3..3....3..2..1..0..3....2..0..2..0..1....3..2..1..0..1
..0..2..0..1..0....1..2..1..2..3....3..2..3..1..3....3..2..3..0..1
..2..1..0..2..1....1..0..3..2..0....3..2..3..1..3....1..0..3..1..0
..2..2..0..1..1....2..0..0..2..3....0..3..0..2..0....1..1..3..0..0

Crossrefs

Sequence in context: A205936 A264496 A224967 * A284032 A205089 A239443

Adjacent sequences: A205649 A205650 A205651 * A205653 A205654 A205655

Keyword

nonn

Author

R. H. Hardin, Jan 30 2012

Status

approved