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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 26 04:54 EDT 2021. Contains 348256 sequences. (Running on oeis4.)