A268026 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

3, 9, 9, 27, 81, 24, 78, 729, 576, 63, 222, 6084, 13824, 3969, 159, 622, 49284, 295962, 250047, 25281, 394, 1722, 386884, 6042732, 13530274, 4019679, 155236, 957, 4719, 2965284, 117582228, 687233742, 528293442, 61162984, 915849, 2292, 12821

Offset

1,1

Comments

Table starts

.....3.........9............27..............78...............222

.....9........81...........729............6084.............49284

....24.......576.........13824..........295962...........6042732

....63......3969........250047........13530274.........687233742

...159.....25281.......4019679.......528293442.......64075543999

...394....155236......61162984.....19177213020.....5458407864352

...957....915849.....876467493....642612340592...420621575011611

..2292...5253264...12040481088..20358126145678.30224756956473940

..5419..29365561..159131975059.612589053437088

.12678.160731684.2037756289752

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) -9*a(n-2) -8*a(n-3) +24*a(n-4) -16*a(n-6)

k=2: [order 15]

k=3: [order 28]

Empirical for row n:

n=1: a(n) = 6*a(n-1) -9*a(n-2) -4*a(n-3) +9*a(n-4) +6*a(n-5) +a(n-6)

n=2: [order 15]

n=3: [order 86] for n>87

Example

Some solutions for n=3 k=4
..0..0..2..2....0..2..1..1....0..0..1..2....0..1..2..0....0..2..2..1
..2..2..0..1....0..1..0..0....2..0..0..1....1..0..1..2....1..2..0..0
..0..0..0..1....2..2..2..0....0..2..0..1....2..1..1..1....0..1..1..2

Crossrefs

Column 1 is A267960.

Column 2 is A267961.

Row 1 is A268013.

Row 2 is A268014.

Sequence in context: A223022 A072404 A222996 * A268019 A228977 A223576

Adjacent sequences: A268023 A268024 A268025 * A268027 A268028 A268029

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 24 2016

Status

approved