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.

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

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