A209465 T(n,k)=Number of nXk 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order

1, 2, 2, 5, 6, 5, 15, 57, 57, 15, 52, 700, 2027, 700, 52, 203, 10676, 107472, 107472, 10676, 203, 877, 192994, 7487423, 26142922, 7487423, 192994, 877, 4139, 3966581, 613535578, 8012278798, 8012278798, 613535578, 3966581, 4139, 21110, 89157292

Offset

1,2

Comments

Table starts

....1........2.............5.................15......................52

....2........6............57................700...................10676

....5.......57..........2027.............107472.................7487423

...15......700........107472...........26142922..............8012278798

...52....10676.......7487423.........8012278798...........9920302864598

..203...192994.....613535578......2694404849980.......12804264249973850

..877..3966581...54657856108....937020001725427....16716447554895729642

.4139.89157292.5063931781244.329698685591776814.21891626720034635715808

Links

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

Example

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

Crossrefs

Column 1 is A099262

Sequence in context: A050157 A209503 A209744 * A209527 A054255 A063177

Adjacent sequences: A209462 A209463 A209464 * A209466 A209467 A209468

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2012

Status

approved