A183714 1/20 of the number of (n+1) X 5 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.

29, 174, 950, 5362, 30113, 169560, 954496, 5374440, 30261345, 170394226, 959449106, 5402445266, 30419982145, 171288302164, 964487232600, 5430818438104, 30579761182213, 172188006484798, 969553341271046

Offset

1,1

Comments

Column 4 of A183719.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 6*a(n-1) + 5*a(n-2) - 42*a(n-3) - 2*a(n-4) + 84*a(n-5) - 20*a(n-6) - 46*a(n-7) + 19*a(n-8) + 2*a(n-9) - a(n-10).

Example

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

Crossrefs

Sequence in context: A238599 A033219 A142407 * A042640 A140573 A165613

Adjacent sequences: A183711 A183712 A183713 * A183715 A183716 A183717

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved