A183734 1/16 the number of (n+1) X 6 0..7 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.

135578, 19849923, 2610816897, 470757143497, 121627738709359, 45102927396897679, 19628509753968319015, 8974005118250282637773, 4133062481661217572719434

Offset

1,1

Comments

Column 5 of A183738.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions with the first block increasing clockwise for 3 X 6:
..0..1..0..6..7..6....0..1..0..7..0..6....0..1..0..7..1..5....0..1..0..7..1..6
..3..2..3..5..0..1....3..2..4..5..3..5....3..2..4..5..2..3....3..2..4..6..2..3
..4..1..0..6..7..3....0..1..0..7..0..7....4..1..0..7..1..5....0..1..0..7..1..6
...
...R..L..L..R..L.......R..L..L..R..L.......R..L..L..R..L.......R..L..L..R..L...
...L..R..R..L..R.......L..R..R..L..R.......L..R..R..L..R.......L..R..R..L..R...

Crossrefs

Cf. A183738.

Sequence in context: A263891 A360662 A235209 * A198166 A234166 A023341

Adjacent sequences: A183731 A183732 A183733 * A183735 A183736 A183737

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved