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

Author

R. H. Hardin Jan 05 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is 3*A021001(n-1)