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A206676 T(n,k) = number of (n+1) X (k+1) 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. 8
81, 360, 360, 1683, 1812, 1683, 7572, 9318, 9318, 7572, 35577, 47106, 57258, 47106, 35577, 160218, 243432, 319698, 319698, 243432, 160218, 750426, 1242930, 1941084, 2046168, 1941084, 1242930, 750426, 3387924, 6474150, 11368056, 14200242 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81......360......1683.......7572.......35577........160218.........750426

.....360.....1812......9318......47106......243432.......1242930........6474150

....1683.....9318.....57258.....319698.....1941084......11368056.......70322310

....7572....47106....319698....2046168....14200242......97476666......700650756

...35577...243432...1941084...14200242...117968049.....968502540.....8557823793

..160218..1242930..11368056...97476666...968502540....9838056114...108434010612

..750426..6474150..70322310..700650756..8557823793..108434010612..1530071121621

.3387924.33323136.422623254.5009030472.75470698086.1216758803376.22248004177848

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

EXAMPLE

Some solutions for n=4, k=3:

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

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

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

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

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

CROSSREFS

Column 1 is A205513.

Sequence in context: A237465 A236997 A236065 * A205520 A236990 A236058

Adjacent sequences:  A206673 A206674 A206675 * A206677 A206678 A206679

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 11 2012

STATUS

approved

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Last modified July 2 10:07 EDT 2022. Contains 355002 sequences. (Running on oeis4.)