A183715 1/20 of the number of (n+1) X 6 0..4 arrays with every 2X2 subblock strictly increasing clockwise or counterclockwise with one decrease.

70, 559, 4012, 30113, 224640, 1683197, 12606120, 94463507, 707826798, 5304230928, 39748015308, 297860692491, 2232084261366, 16726639262465, 125344918169856, 939301219166473, 7038871324696794, 52747415646208987, 395274995490521924

Offset

1,1

Comments

Column 5 of A183719.

Links

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

Formula

Empirical: a(n)=2*a(n-1)+54*a(n-2)-2*a(n-3)-738*a(n-4)-312*a(n-5)+4078*a(n-6)+2098*a(n-7)-10802*a(n-8)-4874*a(n-9)+14854*a(n-10)+4874*a(n-11)-10802*a(n-12)-2098*a(n-13)+4078*a(n-14)+312*a(n-15)-738*a(n-16)+2*a(n-17)+54*a(n-18)-2*a(n-19)-a(n-20).

Example

Some solutions for 3 X 6:
..3..1..3..2..3..1....0..2..0..1..4..0....2..3..1..2..1..2....1..0..2..1..2..1
..4..0..4..1..4..0....4..3..4..2..3..1....0..4..0..3..0..4....3..4..3..4..3..4
..2..1..3..2..3..2....1..2..0..1..4..0....2..3..1..2..1..2....2..1..2..0..2..1
...
...L..R..L..R..L.......R..L..R..L..R.......R..L..R..L..R.......L..R..L..R..L...
...R..L..R..L..R.......L..R..L..R..L.......L..R..L..R..L.......R..L..R..L..R...

Crossrefs

Sequence in context: A235302 A229576 A234556 * A104475 A169712 A235488

Adjacent sequences: A183712 A183713 A183714 * A183716 A183717 A183718

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved