A208108 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 78, 81, 14, 25, 225, 169, 171, 196, 22, 40, 625, 611, 361, 406, 484, 35, 64, 1600, 2209, 1805, 841, 990, 1225, 56, 104, 4096, 6016, 9025, 6235, 2025, 2485, 3136, 90, 169, 10816, 16384, 25555, 46225, 22995, 5041, 6328, 8100

Offset

1,1

Comments

Table starts

..2....4....6.....9.....15.......25.......40.......64........104.........169

..4...16...36....81....225......625.....1600.....4096......10816.......28561

..6...36...78...169....611.....2209.....6016....16384......51840......164025

..9...81..171...361...1805.....9025....25555....72361.....292941.....1185921

.14..196..406...841...6235....46225...134160...389376....2189616....12313081

.22..484..990..2025..22995...261121...768544..2262016...18608992...153091129

.35.1225.2485..5041..89815..1600225..4747545.14085009..176312187..2207026441

.56.3136.6328.12769.361261.10220809.30461016.90782784.1769397240.34486347025

Links

R. H. Hardin, Table of n, a(n) for n = 1..845

Example

Some solutions for n=10 k=3
..1..0..0....0..0..1....1..0..1....1..1..0....1..0..0....0..1..1....0..0..1
..0..0..1....1..0..0....0..1..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..1..1....0..0..1....1..1..0....1..1..0....0..1..1....1..0..1
..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..1..1....0..1..1....1..1..0....1..0..0....0..1..1....1..0..1
..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..0..1....1..1..1....1..1..0....1..0..0....0..1..1....1..1..1
..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..1..0....0..1..1....1..1..1....1..1..0....1..0..0....0..1..1....0..0..1
..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..1..1

Crossrefs

Column 1 is A001611(n+2)

Column 2 is A207436

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Row 3 is A207730

Sequence in context: A207442 A209224 A207693 * A207729 A208118 A207908

Adjacent sequences: A208105 A208106 A208107 * A208109 A208110 A208111

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 23 2012

Status

approved