A186558 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors

256, 3891, 3891, 60074, 227890, 60074, 927477, 13360840, 13360840, 927477, 14319230, 783375343, 2976803436, 783375343, 14319230, 221073168, 45931015744, 663296784123, 663296784123, 45931015744, 221073168, 3413126694

Offset

1,1

Comments

Table starts

.........256............3891.............60074.............927477

........3891..........227890..........13360840..........783375343

.......60074........13360840........2976803436.......663296784123

......927477.......783375343......663296784123....561714653720250

....14319230.....45931015744...147795682647630.475681559860717916

...221073168...2693039069563.32931888185295104

..3413126694.157898954845170

.52694924343

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

Some solutions for 4X3
..0..0..0....3..0..0....2..0..0....0..0..0....0..0..0....1..0..0....1..0..0
..3..1..0....3..2..0....1..1..0....1..1..0....3..2..0....0..3..0....1..2..0
..3..0..3....1..3..3....3..2..3....3..1..0....0..2..0....2..1..2....0..0..0
..2..1..3....0..1..2....0..0..0....1..3..0....0..3..1....2..3..2....3..1..2

Crossrefs

Sequence in context: A186200 A186197 A231842 * A186554 A200843 A074151

Adjacent sequences: A186555 A186556 A186557 * A186559 A186560 A186561

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2011

Status

approved