A184694 T(n,k)=1/3 the number of nXk 0..2 arrays with no element equal both to the element above and to the element to its left

1, 3, 3, 9, 24, 9, 27, 192, 192, 27, 81, 1536, 4080, 1536, 81, 243, 12288, 86688, 86688, 12288, 243, 729, 98304, 1841856, 4890528, 1841856, 98304, 729, 2187, 786432, 39133824, 275895264, 275895264, 39133824, 786432, 2187, 6561, 6291456

Offset

1,2

Comments

Table starts

.....1.........3.............9.................27.....................81

.....3........24...........192...............1536..................12288

.....9.......192..........4080..............86688................1841856

....27......1536.........86688............4890528..............275895264

....81.....12288.......1841856..........275895264............41325395328

...243.....98304......39133824........15564399648..........6189975781728

...729....786432.....831474432.......878052505824........927173138866560

..2187...6291456...17666296320.....49534593003552.....138877768818516672

..6561..50331648..375354928128...2794452367733472...20801977386689522208

.19683.402653184.7975147677696.157646678048909856.3115849763962378244064

Links

R. H. Hardin, Table of n, a(n) for n = 1..241

Example

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

Crossrefs

Column 1 is A000244(n-1)

Column 2 is A103333

Sequence in context: A316220 A059728 A257180 * A215885 A176158 A083008

Adjacent sequences: A184691 A184692 A184693 * A184695 A184696 A184697

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2011

Status

approved