A210052 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays containing all values 0..2 with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order

0, 9, 9, 75, 119, 75, 475, 1271, 1271, 475, 2695, 12377, 20871, 12377, 2695, 14443, 114237, 332891, 332891, 114237, 14443, 74831, 1020363, 5169813, 8989701, 5169813, 1020363, 74831, 379459, 8917959, 78792305, 240224641, 240224641, 78792305

Offset

1,2

Comments

Table starts

......0........9..........75...........475.............2695..............14443

......9......119........1271.........12377...........114237............1020363

.....75.....1271.......20871........332891..........5169813...........78792305

....475....12377......332891.......8989701........240224641.........6356262535

...2695...114237.....5169813.....240224641......11175987745.......518401340537

..14443..1020363....78792305....6356262535.....518401340537.....42412428208163

..74831..8917959..1184416509..166752843125...23937024685863...3466529466974219

.379459.76781969.17624469579.4344981788295.1100584205159383.282766248564198397

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Sequence in context: A270008 A255743 A183893 * A239225 A165830 A152018

Adjacent sequences: A210049 A210050 A210051 * A210053 A210054 A210055

Keyword

nonn,tabl

Author

R. H. Hardin Mar 16 2012

Status

approved