A210404 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

7, 59, 59, 549, 1316, 549, 5167, 29647, 29647, 5167, 48689, 668468, 1596154, 668468, 48689, 458859, 15072359, 85979301, 85979301, 15072359, 458859, 4324477, 339846892, 4631193134, 11066406572, 4631193134, 339846892, 4324477, 40755719

Offset

1,1

Comments

Table starts

........7...........59.............549................5167

.......59.........1316...........29647..............668468

......549........29647.........1596154............85979301

.....5167.......668468........85979301.........11066406572

....48689.....15072359......4631193134.......1424263182001

...458859....339846892....249456180709.....183306323524536

..4324477...7662761615..13436785945910...23591974220786341

.40755719.172777559876.723763304576749.3036345393226822100

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A362772 A005332 A132546 * A301275 A366213 A061424

Adjacent sequences: A210401 A210402 A210403 * A210405 A210406 A210407

Keyword

nonn,tabl

Author

R. H. Hardin Mar 21 2012

Status

approved