A206021 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases.

104, 680, 680, 4440, 7688, 4440, 29000, 87448, 87448, 29000, 189400, 996840, 1763560, 996840, 189400, 1237000, 11364568, 35846696, 35846696, 11364568, 1237000, 8079000, 129573608, 729589784, 1312173688, 729589784, 129573608

Offset

1,1

Comments

Table starts

......104.........680..........4440............29000.............189400

......680........7688.........87448...........996840...........11364568

.....4440.......87448.......1763560.........35846696..........729589784

....29000......996840......35846696.......1312173688........48253100168

...189400....11364568.....729589784......48253100168......3222294559864

..1237000...129573608...14856355384....1777528400280....216074701653640

..8079000..1477339224..302535915752...65511284596104..14510530142894840

.52765000.16844007528.6161045831496.2414878151153112.975067532289817432

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=3, k=3:
..1..1..3..3....2..2..3..0....1..1..3..2....1..2..2..1....3..0..1..0
..3..2..2..0....3..0..3..1....0..2..3..0....0..0..3..0....1..0..2..2
..3..0..1..1....3..1..2..1....1..1..3..2....1..2..2..0....1..3..3..0
..1..0..2..3....0..1..0..1....2..0..0..1....3..3..1..0....0..0..2..1

Crossrefs

Sequence in context: A250692 A250676 A250677 * A206014 A106298 A337145

Adjacent sequences: A206018 A206019 A206020 * A206022 A206023 A206024

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2012

Status

approved