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%I #4 Jan 25 2016 21:12:16
%S 1,2,2,4,15,4,12,159,159,12,39,2191,7445,2191,39,138,30295,381958,
%T 381958,30295,138,499,421471,18691624,70985206,18691624,421471,499,
%U 1830,5797959,911680225,12341773443,12341773443,911680225,5797959,1830,6723,79367143
%N T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.
%C Table starts
%C ....1........2.............4..............12...............39..............138
%C ....2.......15...........159............2191............30295...........421471
%C ....4......159..........7445..........381958.........18691624........911680225
%C ...12.....2191........381958........70985206......12341773443....2135811945390
%C ...39....30295......18691624.....12341773443....7496016439865.4526538615127374
%C ..138...421471.....911680225...2135811945390.4526538615127374
%C ..499..5797959...43653230106.360625109847257
%C .1830.79367143.2074179818184
%H R. H. Hardin, <a href="/A268073/b268073.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: a(n) = 6*a(n-1) -3*a(n-2) -30*a(n-3) +28*a(n-4) +36*a(n-5) -36*a(n-6) for n>8
%F k=2: [order 11] for n>13
%F k=3: [order 75]
%e Some solutions for n=3 k=4
%e ..0..0..1..0....0..1..1..2....0..0..1..2....0..1..1..0....0..0..1..2
%e ..0..1..2..2....0..1..2..3....0..1..0..3....0..2..1..1....0..3..0..1
%e ..3..1..1..2....1..3..2..0....3..1..0..1....2..2..0..1....2..2..1..2
%Y Column 3 is A268007.
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Jan 25 2016
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