A183719 T(n,k) = 1/20 of the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.

2, 5, 5, 12, 17, 12, 29, 54, 54, 29, 70, 174, 224, 174, 70, 169, 559, 950, 950, 559, 169, 408, 1797, 4012, 5362, 4012, 1797, 408, 985, 5776, 16964, 30113, 30113, 16964, 5776, 985, 2378, 18566, 71712, 169560, 224640, 169560, 71712, 18566, 2378, 5741, 59677

Offset: 1

Author

R. H. Hardin, Jan 06 2011

Keywords

• nonn
• tabl

Comments

Table starts

....2......5......12........29.........70..........169...........408

....5.....17......54.......174........559.........1797..........5776

...12.....54.....224.......950.......4012........16964.........71712

...29....174.....950......5362......30113.......169560........954496

...70....559....4012.....30113.....224640......1683197......12606120

..169...1797...16964....169560....1683197.....16823812.....168070828

..408...5776...71712....954496...12606120....168070828....2239265280

..985..18566..303170...5374440...94463507...1680902120...29887741084

.2378..59677.1281664..30261345..707826798..16810325640..398877017736

.5741.191821.5418314.170394226.5304230928.168150768145.5325395568832

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..363