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A205823 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 unequal to the number of counterclockwise edge increases. 8
24, 66, 66, 180, 216, 180, 492, 714, 714, 492, 1344, 2430, 2880, 2430, 1344, 3672, 8274, 12318, 12318, 8274, 3672, 10032, 28242, 53100, 67944, 53100, 28242, 10032, 27408, 96402, 230532, 380568, 380568, 230532, 96402, 27408, 74880, 329130, 1002240 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....24.....66.....180......492.......1344........3672........10032

....66....216.....714.....2430.......8274.......28242........96402

...180....714....2880....12318......53100......230532......1002240

...492...2430...12318....67944.....380568.....2158482.....12281976

..1344...8274...53100...380568....2791080....20842578....156410676

..3672..28242..230532..2158482...20842578...206195280...2053746000

.10032..96402.1002240.12281976..156410676..2053746000..27196042704

.27408.329130.4361064.70022628.1177361316.20547395916.362290015758

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Column 1 is A121907(n+2).

Sequence in context: A306132 A118609 A127878 * A347314 A175153 A250799

Adjacent sequences:  A205820 A205821 A205822 * A205824 A205825 A205826

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2012

STATUS

approved

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Last modified October 3 12:48 EDT 2022. Contains 357237 sequences. (Running on oeis4.)