A183622 T(n,k)=1/120 the number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock containing four distinct values

1, 6, 6, 36, 56, 36, 216, 528, 528, 216, 1296, 4992, 7792, 4992, 1296, 7776, 47232, 115760, 115760, 47232, 7776, 46656, 446976, 1724208, 2708848, 1724208, 446976, 46656, 279936, 4230144, 25713200, 63632480, 63632480, 25713200, 4230144, 279936

Offset

1,2

Comments

Table starts

........1..........6............36.............216...............1296

........6.........56...........528............4992..............47232

.......36........528..........7792..........115760............1724208

......216.......4992........115760.........2708848...........63632480

.....1296......47232.......1724208........63632480.........2359936032

.....7776.....446976......25713200......1498220176........87799260864

....46656....4230144.....383674672.....35321033072......3272704747696

...279936...40034304....5726373936....833329037376....122134207285776

..1679616..378888192...85476349744..19669285954672...4561306247863968

.10077696.3585835008.1275953305136.464377424786608.170428892494433936

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions with the first square being 0123 for 4X3
..0..1..0....0..1..4....0..1..4....0..1..4....0..1..4....0..1..4....0..1..0
..2..3..4....2..3..2....2..3..2....2..3..0....2..3..2....2..3..2....2..3..4
..1..0..2....1..0..1....1..0..1....0..4..2....4..0..1....1..4..1....0..1..0
..2..3..4....4..2..4....3..4..3....2..3..1....2..3..4....3..0..2....3..2..3

Crossrefs

Sequence in context: A056464 A056454 A056452 * A176861 A245131 A038260

Adjacent sequences: A183619 A183620 A183621 * A183623 A183624 A183625

Keyword

nonn,tabl

Author

R. H. Hardin Jan 06 2011

Status

approved