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A268423 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

%I A268423 #4 Feb 04 2016 09:53:53
%S A268423 1,2,2,4,15,5,12,159,187,14,39,2191,9054,2530,44,138,30295,494098,
%T A268423 467899,34195,147,499,421471,25770278,92967597,22309009,448667,505,
%U A268423 1830,5797959,1339895662,17282463434,15615613747,999810316,5720450,1750,6723,79367143
%N A268423 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.
%C A268423 Table starts
%C A268423 ....1.........2.............4..............12...............39..............138
%C A268423 ....2........15...........159............2191............30295...........421471
%C A268423 ....5.......187..........9054..........494098.........25770278.......1339895662
%C A268423 ...14......2530........467899........92967597......17282463434....3197637400309
%C A268423 ...44.....34195......22309009.....15615613747...10053286458091.6434348326690233
%C A268423 ..147....448667.....999810316...2414369699870.5273786308929110
%C A268423 ..505...5720450...42764566838.350815694801710
%C A268423 .1750..71224847.1764109373799
%C A268423 .6065.869969995
%H A268423 R. H. Hardin, <a href="/A268423/b268423.txt">Table of n, a(n) for n = 1..60</a>
%e A268423 Some solutions for n=3 k=4
%e A268423 ..0..0..1..2....0..0..1..0....0..0..1..1....0..0..1..0....0..0..1..1
%e A268423 ..1..1..3..1....1..0..2..1....2..2..3..2....2..2..1..3....2..2..0..2
%e A268423 ..1..3..1..1....0..3..0..1....3..2..1..1....0..0..3..1....3..0..2..0
%Y A268423 Column 3 is A268047.
%Y A268423 Row 1 is A268069.
%Y A268423 Row 2 is A268070.
%Y A268423 Row 3 is A268178.
%K A268423 nonn,tabl
%O A268423 1,2
%A A268423 _R. H. Hardin_, Feb 04 2016