A208492 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 equal to the number of counterclockwise edge increases.

152, 1448, 1448, 13800, 33416, 13800, 131528, 773288, 773288, 131528, 1253608, 17903016, 43689232, 17903016, 1253608, 11948296, 414522184, 2473041560, 2473041560, 414522184, 11948296, 113880744, 9597910280, 140051200968

Offset

1,1

Comments

Table starts

........152..........1448.............13800................131528

.......1448.........33416............773288..............17903016

......13800........773288..........43689232............2473041560

.....131528......17903016........2473041560..........343092183768

....1253608.....414522184......140051200968........47661128330328

...11948296....9597910280.....7932164084608......6623652903138136

..113880744..222232271912...449271828443912....920635760474340792

.1085412040.5145622169576.25446613122575176.127966524262127129240

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

Some solutions for n=4, k=3:
..3..2..0..1....0..3..3..3....1..0..3..3....1..1..0..0....0..0..1..2
..0..3..1..1....2..1..1..1....3..2..1..3....3..1..0..0....0..3..0..1
..3..2..3..1....0..2..1..0....2..2..2..0....1..0..1..0....1..0..1..2
..1..3..2..0....3..0..2..1....3..2..2..0....2..1..1..0....1..1..0..1
..1..3..2..0....3..3..0..3....1..3..2..2....2..2..1..1....1..0..3..0

Crossrefs

Sequence in context: A253359 A226365 A085775 * A208485 A364815 A359447

Adjacent sequences: A208489 A208490 A208491 * A208493 A208494 A208495

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 27 2012

Status

approved