A210086 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

1, 51, 51, 762, 2384, 762, 9405, 82691, 82691, 9405, 109194, 2718363, 7853122, 2718363, 109194, 1239185, 88297042, 735082380, 735082380, 88297042, 1239185, 13937206, 2860160370, 68665065250, 198214365329, 68665065250, 2860160370

Offset

1,2

Comments

Table starts

.........1............51...............762...................9405

........51..........2384.............82691................2718363

.......762.........82691...........7853122..............735082380

......9405.......2718363.........735082380...........198214365329

....109194......88297042.......68665065250.........53426795638847

...1239185....2860160370.....6412474476465......14400521616297866

..13937206...92588511903...598825420604059....3881469256766776348

.156188077.2996810715343.55920736247669053.1046198451409469003484

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..1..1..0....0..0..1..0....0..0..0..1....0..0..0..0
..1..2..3..1....0..2..3..0....1..2..2..3....1..2..1..2....1..2..3..1
..2..0..1..0....0..3..1..1....1..3..0..2....2..3..0..3....2..3..1..0
..3..2..2..1....3..1..0..2....1..2..3..2....3..0..1..3....3..0..2..0
..2..1..3..3....1..0..2..3....0..1..0..3....3..1..2..1....2..3..3..0

Crossrefs

Sequence in context: A003912 A039932 A210183 * A031959 A144162 A169984

Adjacent sequences: A210083 A210084 A210085 * A210087 A210088 A210089

Keyword

nonn,tabl

Author

R. H. Hardin Mar 17 2012

Status

approved