A183716 1/20 of the number of (n+1) X 7 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.

169, 1797, 16964, 169560, 1683197, 16823812, 168070828, 1680902120, 16810325640, 168150768145, 1681983501886, 16825267289824, 168307255896111, 1683632068657357, 16841927176565292, 168475631338846804

Offset

1,1

Comments

Column 6 of A183719.

Links

Table of n, a(n) for n=1..16.

Formula

Empirical: a(n)=12*a(n-1)+41*a(n-2)-731*a(n-3)-236*a(n-4)+17377*a(n-5)-11599*a(n-6)-210068*a(n-7)+239143*a(n-8)+1435333*a(n-9)-2045028*a(n-10)-5829087*a(n-11)+9632462*a(n-12)+14361840*a(n-13)-27309714*a(n-14)-21401634*a(n-15)+48701640*a(n-16)+18436650*a(n-17)-56085498*a(n-18)-7403128*a(n-19)+42308694*a(n-20)-1027934*a(n-21)-20976128*a(n-22)+2642614*a(n-23)+6772235*a(n-24)-1305140*a(n-25)-1387863*a(n-26)+326941*a(n-27)+171884*a(n-28)-44771*a(n-29)-11807*a(n-30)+3188*a(n-31)+387*a(n-32)-103*a(n-33)-4*a(n-34)+a(n-35).

Example

Some solutions for 3 X 7:
..4..0..4..0..4..0..4....1..0..1..4..1..4..1....2..4..2..4..2..4..2
..3..2..3..2..3..1..3....2..3..2..3..2..3..2....1..0..1..0..1..0..1
..0..1..4..1..4..0..4....1..4..1..4..0..4..0....2..4..2..4..2..4..2
...
...R..L..R..L..R..L.......L..R..L..R..L..R.......R..L..R..L..R..L...
...L..R..L..R..L..R.......R..L..R..L..R..L.......L..R..L..R..L..R...

Crossrefs

Sequence in context: A264304 A241538 A231974 * A012014 A221889 A156160

Adjacent sequences: A183713 A183714 A183715 * A183717 A183718 A183719

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved