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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.
7
1, 2, 2, 4, 15, 5, 12, 159, 187, 14, 39, 2191, 9054, 2530, 44, 138, 30295, 494098, 467899, 34195, 147, 499, 421471, 25770278, 92967597, 22309009, 448667, 505, 1830, 5797959, 1339895662, 17282463434, 15615613747, 999810316, 5720450, 1750, 6723, 79367143
OFFSET
1,2
COMMENTS
Table starts
....1.........2.............4..............12...............39..............138
....2........15...........159............2191............30295...........421471
....5.......187..........9054..........494098.........25770278.......1339895662
...14......2530........467899........92967597......17282463434....3197637400309
...44.....34195......22309009.....15615613747...10053286458091.6434348326690233
..147....448667.....999810316...2414369699870.5273786308929110
..505...5720450...42764566838.350815694801710
.1750..71224847.1764109373799
.6065.869969995
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..2....0..0..1..0....0..0..1..1....0..0..1..0....0..0..1..1
..1..1..3..1....1..0..2..1....2..2..3..2....2..2..1..3....2..2..0..2
..1..3..1..1....0..3..0..1....3..2..1..1....0..0..3..1....3..0..2..0
CROSSREFS
Column 3 is A268047.
Row 1 is A268069.
Row 2 is A268070.
Row 3 is A268178.
Sequence in context: A205161 A205310 A222924 * A261531 A153968 A153965
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 04 2016
STATUS
approved