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%I #4 Jan 29 2016 07:37:00
%S 2,9,4,60,81,8,570,3600,729,15,6960,324900,216000,6084,28,104006,
%T 48441600,185193000,12067722,49284,51,1837752,10817248036,
%U 337153536000,98956027822,648144348,386884,92,37478718,3377332413504,1125058699232216
%N T(n,k)=Number of nXk 0..k arrays with every repeated value in every row greater than, and every column greater than or equal to, the previous repeated value.
%C Table starts
%C ...2........9............60...............570.................6960
%C ...4.......81..........3600............324900.............48441600
%C ...8......729........216000.........185193000.........337153536000
%C ..15.....6084......12067722.......98956027822.....2213773305829075
%C ..28....49284.....648144348....50740994294843.13958709698552890082
%C ..51...386884...33600202086.25094770808231271
%C ..92..2965284.1691726672094
%C .164.22268961
%C .290
%H R. H. Hardin, <a href="/A268249/b268249.txt">Table of n, a(n) for n = 1..48</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)
%F k=2: [order 15]
%e Some solutions for n=2 k=4
%e ..2..3..1..1....3..1..4..3....0..1..0..3....4..0..0..4....0..2..4..3
%e ..1..1..0..4....1..1..3..4....1..0..0..4....0..4..3..1....0..0..1..3
%Y Column 1 is A029907(n+1).
%Y Column 2 is A268014.
%Y Column 3 is A267977.
%Y Row 1 is A268205.
%Y Row 2 is A268206.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2016
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