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A267997
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.
4
4, 16, 16, 64, 256, 64, 250, 4096, 4096, 250, 964, 62500, 262144, 62500, 964, 3674, 929296, 15625000, 15625000, 929296, 3674, 13868, 13498276, 895841344, 3552627426, 895841344, 13498276, 13868, 51917, 192321424, 49592666024
OFFSET
1,1
COMMENTS
Table starts
......4..........16..............64...............250................964
.....16.........256............4096.............62500.............929296
.....64........4096..........262144..........15625000..........895841344
....250.......62500........15625000........3552627426.......766970396055
....964......929296.......895841344......766970396055....615504325372174
...3674....13498276.....49592666024...158016399692284.465926430628469626
..13868...192321424...2667113508032.31323853192497584
..51917..2695374889.139935778112213
.192980.37241280400
.712868
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 8]
k=2: [order 21]
k=3: [order 40]
EXAMPLE
Some solutions for n=2 k=4
..3..1..2..0....0..1..3..3....1..2..1..1....3..2..3..1....2..2..0..1
..3..0..3..0....1..0..2..0....0..3..3..3....3..2..0..3....2..1..0..2
CROSSREFS
Column 1 is A267975.
Column 2 is A267976.
Sequence in context: A223071 A232431 A267974 * A229105 A223585 A202680
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 24 2016
STATUS
approved