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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

%I

%S 3,9,9,24,81,24,63,576,576,63,159,3969,9750,3969,159,394,25281,157182,

%T 157182,25281,394,957,155236,2253828,5843562,2253828,155236,957,2292,

%U 915849,30649446,185900905,185900905,30649446,915849,2292,5419,5253264

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

%C Table starts

%C .....3.........9...........24.............63..............159...............394

%C .....9........81..........576...........3969............25281............155236

%C ....24.......576.........9750.........157182..........2253828..........30649446

%C ....63......3969.......157182........5843562........185900905........5520230601

%C ...159.....25281......2253828......185900905......12628574785......788980366553

%C ...394....155236.....30649446.....5520230601.....788980366553...102223499117744

%C ...957....915849....392792334...151596664089...44750006935212.11810588915957470

%C ..2292...5253264...4834114074..3948855568663.2380009487628460

%C ..5419..29365561..57285557832.97889332200024

%C .12678.160731684.658558589712

%H R. H. Hardin, <a href="/A267966/b267966.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

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

%F k=2: [order 15]

%F k=3: [order 60]

%e Some solutions for n=3 k=4

%e ..0..0..1..2....2..0..2..0....2..0..1..0....2..0..1..1....0..1..2..1

%e ..0..1..1..0....1..2..0..1....2..1..0..2....2..0..1..0....2..0..1..2

%e ..2..0..2..1....2..1..0..0....0..2..2..1....0..1..2..2....1..0..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 22 2016

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Last modified January 28 15:20 EST 2022. Contains 350657 sequences. (Running on oeis4.)