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A206542
T(n,k) = number of (n+1) X (k+1) 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.
9
81, 399, 399, 1620, 2577, 1620, 6462, 14781, 14781, 6462, 26481, 91674, 141759, 91674, 26481, 110769, 594348, 1419921, 1419921, 594348, 110769, 469617, 3902463, 14528199, 22647363, 14528199, 3902463, 469617, 2009553, 25900263, 150387285
OFFSET
1,1
COMMENTS
Table starts
......81.......399........1620..........6462...........26481............110769
.....399......2577.......14781.........91674..........594348...........3902463
....1620.....14781......141759.......1419921........14528199.........150387285
....6462.....91674.....1419921......22647363.......369441411........6062752884
...26481....594348....14528199.....369441411......9567269487......249853070682
..110769...3902463...150387285....6062752884....249853070682....10370489275269
..469617..25900263..1567749888..100259781690...6556642024200...433165769694465
.2009553.172835859.16417626507.1661323349889.172503406693200.18115074102295746
LINKS
EXAMPLE
Some solutions for n=4, k=3:
..0..1..0..0....2..2..0..0....1..1..2..1....0..0..2..2....1..0..2..0
..0..0..0..2....2..0..0..2....1..2..2..2....0..2..2..0....2..1..0..1
..0..1..0..0....2..0..2..2....1..1..2..0....2..2..0..0....0..2..1..0
..0..0..0..1....0..0..2..1....2..1..1..1....2..0..0..1....1..0..2..1
..1..0..2..2....2..2..2..1....2..1..0..2....2..2..2..1....2..1..0..2
CROSSREFS
Sequence in context: A236611 A236719 A236712 * A206535 A017498 A097025
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 09 2012
STATUS
approved