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A267966 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than the previous repeated value. 7
3, 9, 9, 24, 81, 24, 63, 576, 576, 63, 159, 3969, 9750, 3969, 159, 394, 25281, 157182, 157182, 25281, 394, 957, 155236, 2253828, 5843562, 2253828, 155236, 957, 2292, 915849, 30649446, 185900905, 185900905, 30649446, 915849, 2292, 5419, 5253264 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....3.........9...........24.............63..............159...............394

.....9........81..........576...........3969............25281............155236

....24.......576.........9750.........157182..........2253828..........30649446

....63......3969.......157182........5843562........185900905........5520230601

...159.....25281......2253828......185900905......12628574785......788980366553

...394....155236.....30649446.....5520230601.....788980366553...102223499117744

...957....915849....392792334...151596664089...44750006935212.11810588915957470

..2292...5253264...4834114074..3948855568663.2380009487628460

..5419..29365561..57285557832.97889332200024

.12678.160731684.658558589712

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 60]

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..2....2..0..2..0....2..0..1..0....2..0..1..1....0..1..2..1

..0..1..1..0....1..2..0..1....2..1..0..2....2..0..1..0....2..0..1..2

..2..0..2..1....2..1..0..0....0..2..2..1....0..1..2..2....1..0..0..1

CROSSREFS

Sequence in context: A268628 A269052 A268971 * A263320 A226717 A207208

Adjacent sequences:  A267963 A267964 A267965 * A267967 A267968 A267969

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 22 2016

STATUS

approved

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Last modified July 7 14:34 EDT 2020. Contains 335495 sequences. (Running on oeis4.)