A183720 1/12 the number of (n+1) X (n+1) 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

0, 2, 124, 14886, 3723606, 2740758406, 5585215240568, 33429749952933774, 583208471844467888006

Offset: 1

Author

R. H. Hardin, Jan 06 2011

Keywords

• nonn

Comments

Diagonal of A183729.

Examples

			Some solutions with the first block increasing clockwise for 3 X 3:
..5..0..1....1..2..3....4..5..4....2..3..2....0..1..2....5..0..5....3..4..3
..4..3..2....0..5..4....3..0..3....1..4..1....5..4..3....4..1..4....2..5..2
..5..0..1....1..2..3....2..1..2....0..5..0....0..1..2....3..2..3....1..0..1
...
...R..R.......R..R.......R..L.......R..L.......R..R.......R..L.......R..L...
...L..L.......L..L.......R..L.......R..L.......L..L.......R..L.......R..L...