A206752 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an equal number of clockwise and counterclockwise edge increases.

256, 1888, 1888, 15680, 36384, 15680, 139744, 793152, 793152, 139744, 1289472, 18037344, 43894936, 18037344, 1289472, 12105120, 415429504, 2475217568, 2475217568, 415429504, 12105120, 114566336, 9604042208, 140074119984

Offset

1,1

Comments

Table starts:

........256..........1888.............15680................139744

.......1888.........36384............793152..............18037344

......15680........793152..........43894936............2475217568

.....139744......18037344........2475217568..........343128343904

....1289472.....415429504......140074119984........47661729160320

...12105120....9604042208.....7932406245672......6623662914493232

..114566336..222273709440...449274384195312....920635927293402816

.1088409696.5145902199776.25446640113989392.127966527042768090112

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Sequence in context: A237574 A237569 A237544 * A237539 A206745 A237791

Adjacent sequences: A206749 A206750 A206751 * A206753 A206754 A206755

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 12 2012

Status

approved