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.

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

Offset: 1

Author

R. H. Hardin, Jan 22 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

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]