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A205659
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.
14
256, 1976, 2120, 15616, 12296, 17920, 124048, 95008, 75108, 151824, 986388, 839872, 511632, 489984, 1285076, 7854572, 7919128, 5016144, 3227968, 3323532, 10876432, 62623348, 76028256, 57716364, 41013960, 21711080, 23019504, 92062852
OFFSET
1,1
COMMENTS
Table starts
.......256.......1976......15616.......124048.........986388.........7854572
......2120......12296......95008.......839872........7919128........76028256
.....17920......75108.....511632......5016144.......57716364.......711793356
....151824.....489984....3227968.....41013960......639426584.....10795687000
...1285076....3323532...21711080....353779964.....7578064080....183567605276
..10876432...23019504..142040528...3024213232....88431310744...2994560119488
..92062852..162377816..939384668..26605030292..1092079388028..54588666013136
.779221408.1156073240.6315887616.240164548160.13465529402424.946322990916328
LINKS
EXAMPLE
Some solutions for n=4, k=3:
..2..3..3..2....1..2..0..2....0..2..3..2....0..2..1..3....0..0..2..3
..3..1..0..3....1..2..0..1....1..0..1..3....0..2..1..2....1..0..2..3
..3..3..3..3....0..1..2..1....1..1..1..1....1..0..3..2....3..1..3..0
..3..3..3..3....2..1..3..2....1..1..1..1....0..0..0..0....3..1..3..0
..0..0..0..2....3..1..2..2....2..0..1..2....1..2..3..3....2..3..1..2
CROSSREFS
Column 1 is A205459.
Row 1 is A205363.
Sequence in context: A235965 A206188 A205370 * A205363 A237340 A237333
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 30 2012
STATUS
approved