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A206277 T(n,k) = number of (n+1) X (k+1) 0..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. 9
81, 306, 306, 1233, 972, 1233, 4884, 3168, 3168, 4884, 19509, 11205, 12429, 11205, 19509, 77580, 35922, 39306, 39306, 35922, 77580, 309057, 123357, 133866, 145824, 133866, 123357, 309057, 1230480, 408198, 437340, 495858, 495858, 437340, 408198 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81.....306....1233.....4884.....19509.....77580.....309057.....1230480

.....306.....972....3168....11205.....35922....123357.....408198.....1376754

....1233....3168...12429....39306....133866....437340....1528920.....4972464

....4884...11205...39306...145824....495858...1824315....6254364....22950822

...19509...35922..133866...495858...2243139...8405508...33297948...125846844

...77580..123357..437340..1824315...8405508..39044748..167821686...751671621

..309057..408198.1528920..6254364..33297948.167821686..964315869..4586324364

.1230480.1376754.4972464.22950822.125846844.751671621.4586324364.27362301828

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..262

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Sequence in context: A237099 A236812 A237092 * A236018 A206685 A206270

Adjacent sequences:  A206274 A206275 A206276 * A206278 A206279 A206280

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 05 2012

STATUS

approved

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Last modified October 1 06:56 EDT 2022. Contains 357135 sequences. (Running on oeis4.)