A183725 1/12 the number of (n+1) X 6 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.

537, 4170, 30939, 272215, 3723606, 112949014, 4858574535, 221403152762, 9949950285008, 439077020908186, 19070687313534907, 817844594324788300, 34712759917922473170, 1460861248287305883035, 61042039866448977229798

Offset

1,1

Comments

Column 5 of A183729.

Links

R. H. Hardin, Table of n, a(n) for n = 1..125

Example

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

Crossrefs

Sequence in context: A033916 A236879 A206067 * A235780 A235785 A235561

Adjacent sequences: A183722 A183723 A183724 * A183726 A183727 A183728

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved