cp's OEIS Frontend

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.

%I A267966 #4 Jan 22 2016 14:31:00
%S A267966 3,9,9,24,81,24,63,576,576,63,159,3969,9750,3969,159,394,25281,157182,
%T A267966 157182,25281,394,957,155236,2253828,5843562,2253828,155236,957,2292,
%U A267966 915849,30649446,185900905,185900905,30649446,915849,2292,5419,5253264
%N 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.
%C A267966 Table starts
%C A267966 .....3.........9...........24.............63..............159...............394
%C A267966 .....9........81..........576...........3969............25281............155236
%C A267966 ....24.......576.........9750.........157182..........2253828..........30649446
%C A267966 ....63......3969.......157182........5843562........185900905........5520230601
%C A267966 ...159.....25281......2253828......185900905......12628574785......788980366553
%C A267966 ...394....155236.....30649446.....5520230601.....788980366553...102223499117744
%C A267966 ...957....915849....392792334...151596664089...44750006935212.11810588915957470
%C A267966 ..2292...5253264...4834114074..3948855568663.2380009487628460
%C A267966 ..5419..29365561..57285557832.97889332200024
%C A267966 .12678.160731684.658558589712
%H A267966 R. H. Hardin, <a href="/A267966/b267966.txt">Table of n, a(n) for n = 1..84</a>
%F A267966 Empirical for column k:
%F A267966 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 A267966 k=2: [order 15]
%F A267966 k=3: [order 60]
%e A267966 Some solutions for n=3 k=4
%e A267966 ..0..0..1..2....2..0..2..0....2..0..1..0....2..0..1..1....0..1..2..1
%e A267966 ..0..1..1..0....1..2..0..1....2..1..0..2....2..0..1..0....2..0..1..2
%e A267966 ..2..0..2..1....2..1..0..0....0..2..2..1....0..1..2..2....1..0..0..1
%K A267966 nonn,tabl
%O A267966 1,1
%A A267966 _R. H. Hardin_, Jan 22 2016