A210183 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

1, 51, 51, 744, 2316, 744, 9042, 79017, 79017, 9042, 103752, 2563795, 7363642, 2563795, 103752, 1165620, 82255351, 677791782, 677791782, 82255351, 1165620, 12988416, 2632469015, 62264517380, 178967377396, 62264517380, 2632469015

Offset

1,2

Comments

Table starts

.........1............51...............744..................9042

........51..........2316.............79017...............2563795

.......744.........79017...........7363642.............677791782

......9042.......2563795.........677791782..........178967377396

....103752......82255351.......62264517380........47230346056196

...1165620....2632469015.....5718695139568.....12464481048826696

..12988416...84200356757...525217898009080...3289463766677655180

.144259560.2692825679001.48237037195753208.868112796406514394762

Links

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

Example

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

Crossrefs

Sequence in context: A204375 A003912 A039932 * A210086 A031959 A144162

Adjacent sequences: A210180 A210181 A210182 * A210184 A210185 A210186

Keyword

nonn,tabl

Author

R. H. Hardin Mar 18 2012

Status

approved