A186485 Number of (n+1) X (n+1) 0..5 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.

1296, 1638, 49225, 187120, 2297416, 7285701, 85779021, 302363961, 3344266701, 12548833941, 129972246981, 515938724421, 5061186988761, 21139419297501, 197573066244141, 863365403630181, 7729201644744621, 35162376035723961

Offset

1,1

Comments

Diagonal of A186486.

Links

R. H. Hardin, Table of n, a(n) for n = 1..22

Example

Some solutions for 3 X 3:
..0..3..2....4..2..0....5..3..0....3..3..0....3..5..0....0..0..5....3..0..0
..0..0..3....3..0..2....1..0..3....1..0..3....5..0..5....0..0..0....4..0..0
..0..0..0....0..3..0....0..1..5....0..1..2....0..5..3....0..0..0....0..4..4

Crossrefs

Cf. A186486.

Sequence in context: A179536 A273631 A186486 * A281399 A043372 A372841

Adjacent sequences: A186482 A186483 A186484 * A186486 A186487 A186488

Keyword

nonn

Author

R. H. Hardin, Feb 22 2011

Status

approved