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A268019 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

%I A268019 #4 Jan 24 2016 09:57:06
%S A268019 3,9,9,27,81,27,78,729,729,78,222,6084,19683,6084,222,622,49284,
%T A268019 474552,474552,49284,622,1722,386884,10941048,31831908,10941048,
%U A268019 386884,1722,4719,2965284,240641848,2012075697,2012075697,240641848,2965284,4719
%N A268019 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.
%C A268019 Table starts
%C A268019 .....3..........9.............27................78.................222
%C A268019 .....9.........81............729..............6084...............49284
%C A268019 ....27........729..........19683............474552............10941048
%C A268019 ....78.......6084.........474552..........31831908..........2012075697
%C A268019 ...222......49284.......10941048........2012075697........343790697459
%C A268019 ...622.....386884......240641848......119453097281......54331933243657
%C A268019 ..1722....2965284.....5106219048.....6761580343329....8093513353675817
%C A268019 ..4719...22268961...105087226959...367501986337710.1146370541408659891
%C A268019 .12821..164378041..2107490863661.19300005472710895
%C A268019 .34575.1195430625.41332013859375
%H A268019 R. H. Hardin, <a href="/A268019/b268019.txt">Table of n, a(n) for n = 1..84</a>
%F A268019 Empirical for column k:
%F A268019 k=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)
%F A268019 k=2: [order 15]
%F A268019 k=3: [order 28]
%e A268019 Some solutions for n=3 k=4
%e A268019 ..0..1..1..0....0..2..1..2....0..0..2..1....0..0..2..2....0..1..2..1
%e A268019 ..0..1..0..0....0..2..1..1....0..1..0..0....1..1..1..2....0..1..1..1
%e A268019 ..0..1..2..1....1..0..2..0....0..1..0..1....1..0..1..0....1..2..2..1
%K A268019 nonn,tabl
%O A268019 1,1
%A A268019 _R. H. Hardin_, Jan 24 2016