A209527 T(n,k)=Number of nXk 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order

1, 2, 2, 5, 6, 5, 15, 57, 57, 15, 52, 700, 2027, 700, 52, 203, 10677, 107693, 107693, 10677, 203, 877, 193676, 7700397, 27323948, 7700397, 193676, 877, 4140, 4054358, 687132348, 9700576474, 9700576474, 687132348, 4054358, 4140, 21146, 95534880

Offset

1,2

Comments

Table starts

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

....2........6............57................700....................10677

....5.......57..........2027.............107693..................7700397

...15......700........107693...........27323948...............9700576474

...52....10677.......7700397.........9700576474...........16484968944748

..203...193676.....687132348......4194606038254........31813625228165210

..877..4054358...71519658191...2002617518101082.....64398780661554524050

.4140.95534880.8190834795146.999998646599976052.132601740316897661044124

Links

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

Example

Some solutions for n=5 k=3
..0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..0....0..1..0
..1..2..1....1..2..1....1..2..1....1..2..0....1..2..2....1..2..3....0..2..0
..2..0..0....0..0..0....0..0..1....1..0..3....0..0..1....1..0..0....0..1..0
..0..3..1....1..2..1....1..2..0....0..2..0....1..2..0....0..2..3....0..2..1
..3..1..0....0..1..0....0..0..1....0..1..0....0..0..1....2..3..0....1..2..0

Crossrefs

Column 1 is A099263

Sequence in context: A209503 A209744 A209465 * A054255 A063177 A249521

Adjacent sequences: A209524 A209525 A209526 * A209528 A209529 A209530

Keyword

nonn,tabl

Author

R. H. Hardin Mar 10 2012

Status

approved