A210061 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order

9, 51, 51, 323, 646, 323, 2187, 8767, 8767, 2187, 15435, 124097, 249327, 124097, 15435, 111659, 1800963, 7293673, 7293673, 1800963, 111659, 819243, 26510247, 216648913, 438056462, 216648913, 26510247, 819243, 6058155, 393310267

Offset

1,1

Comments

Table starts

.......9.........51...........323.............2187...............15435

......51........646..........8767...........124097.............1800963

.....323.......8767........249327..........7293673...........216648913

....2187.....124097.......7293673........438056462.........26586250017

...15435....1800963.....216648913......26586250017.......3291534980629

..111659...26510247....6488330257....1622061565898.....409244238764475

..819243..393310267..195167694929...99225470062505...50984849090449545

.6058155.5860240451.5884233366145.6077972350575098.6357981795575036349

Links

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

Example

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

Crossrefs

Sequence in context: A338510 A221246 A002462 * A034814 A034816 A140381

Adjacent sequences: A210058 A210059 A210060 * A210062 A210063 A210064

Keyword

nonn,tabl

Author

R. H. Hardin Mar 16 2012

Status

approved