A205729 Number of (n+1)X(n+1) 0..2 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.

81, 978, 14715, 223560, 10821462, 276139080, 34742828298, 1546577050248, 556035975944622, 43620596248679868, 46584601562741639715, 6531489127833773748528

Offset

1,1

Comments

Diagonal of A205736.

Links

Table of n, a(n) for n=1..12.

Example

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

Crossrefs

Sequence in context: A086580 A206269 A236885 * A237226 A237159 A183807

Adjacent sequences: A205726 A205727 A205728 * A205730 A205731 A205732

Keyword

nonn

Author

R. H. Hardin, Jan 30 2012

Status

approved