A209517 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to the number of counterclockwise edge increases.

57, 363, 363, 2313, 4995, 2313, 14739, 68937, 68937, 14739, 93921, 951777, 2071311, 951777, 93921, 598491, 13141335, 62340543, 62340543, 13141335, 598491, 3813753, 181445643, 1876947141, 4099186545, 1876947141, 181445643, 3813753, 24302307

Offset

1,1

Comments

Table starts

.......57.........363...........2313.............14739.................93921

......363........4995..........68937............951777..............13141335

.....2313.......68937........2071311..........62340543............1876947141

....14739......951777.......62340543........4099186545..........269845393359

....93921....13141335.....1876947141......269845393359........38883961392081

...598491...181445643....56515446141....17769569448759......5607670578249789

..3813753..2505266673..1701725703867..1170258116647953....808953988260058047

.24302307.34590865185.51240520677831.77072446894479573.116711118063701004591

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Column 1 is 3*A138977(n+1).

Column 2 is 3*A138978(n+1).

Column 3 is 3*A138979(n+1).

Sequence in context: A371515 A043399 A038482 * A097200 A211147 A237360

Adjacent sequences: A209514 A209515 A209516 * A209518 A209519 A209520

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 09 2012

Status

approved