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.

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

R. H. Hardin, Table of n, a(n) for n = 1..112

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

Adjacent sequences: A205656 A205657 A205658 * A205660 A205661 A205662

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2012

Status

approved