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

Author

R. H. Hardin, Mar 09 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

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

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

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