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A206668 T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward and upward neighbors. 9
81, 423, 423, 2286, 2691, 2286, 12477, 17844, 17844, 12477, 68253, 119727, 166605, 119727, 68253, 373644, 815847, 1637151, 1637151, 815847, 373644, 2046027, 5593611, 16537155, 25229685, 16537155, 5593611, 2046027, 11205045, 38594841 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81.......423........2286.........12477...........68253............373644

......423......2691.......17844........119727..........815847...........5593611

.....2286.....17844......166605.......1637151........16537155.........170170494

....12477....119727.....1637151......25229685.......404408697........6593653335

....68253....815847....16537155.....404408697.....10351091007......269149632948

...373644...5593611...170170494....6593653335....269149632948....11143560422013

..2046027..38594841..1770039198..108688211619...7050554283159...464729380449429

.11205045.267189276.18532885713.1799150533260.185345018259540.19426122492513648

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..160

EXAMPLE

Some solutions for n=4, k=3:

..2..1..2..1....0..2..2..0....1..0..1..2....1..2..2..0....0..1..0..0

..0..1..0..1....2..2..0..0....0..1..2..0....0..1..0..0....2..2..2..1

..2..1..2..1....2..0..0..1....1..2..1..2....2..1..0..1....0..1..0..0

..0..0..2..0....0..0..1..1....2..0..2..0....1..1..1..1....2..1..2..1

..2..1..1..1....2..0..0..1....0..1..0..1....2..2..2..1....0..0..0..1

CROSSREFS

Sequence in context: A253449 A236148 A205986 * A238180 A206414 A205979

Adjacent sequences:  A206665 A206666 A206667 * A206669 A206670 A206671

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 11 2012

STATUS

approved

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Last modified September 20 09:44 EDT 2021. Contains 347583 sequences. (Running on oeis4.)