A183603 T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values

6, 27, 27, 120, 204, 120, 534, 1479, 1479, 534, 2376, 10797, 17174, 10797, 2376, 10572, 78729, 201770, 201770, 78729, 10572, 47040, 574185, 2366412, 3831324, 2366412, 574185, 47040, 209304, 4187499, 27768032, 72592860, 72592860, 27768032, 4187499

Offset

1,1

Comments

Table starts

.......6.........27..........120.............534..............2376

......27........204.........1479...........10797.............78729

.....120.......1479........17174..........201770...........2366412

.....534......10797.......201770.........3831324..........72592860

....2376......78729......2366412........72592860........2220901926

...10572.....574185.....27768032......1376627608.......68026656422

...47040....4187499....325834456.....26108240340.....2083981368760

..209304...30539367...3823553752....495215814566....63854542807704

..931296..222722937..44868561272...9393691937690..1956721189681174

.4143792.1624313781.526526214848.178194216929170.59964037003007332

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions with a(1,1)=0 for 4X3
..0..1..0....0..0..1....0..2..0....0..1..1....0..1..0....0..1..0....0..0..0
..2..2..0....1..2..1....0..1..0....2..0..2....2..2..1....1..2..1....1..2..1
..1..0..1....2..0..2....1..2..0....1..1..2....1..0..2....0..2..0....1..0..0
..2..2..1....1..1..0....0..2..1....2..0..1....2..2..1....2..1..1....0..2..1

Crossrefs

Column 1 is 3*A021001(n-1)

Sequence in context: A179162 A285806 A292384 * A067876 A309337 A174226

Adjacent sequences: A183600 A183601 A183602 * A183604 A183605 A183606

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved