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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..60

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

Adjacent sequences:  A267994 A267995 A267996 * A267998 A267999 A268000

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 24 2016

STATUS

approved

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Last modified April 4 20:01 EDT 2020. Contains 333229 sequences. (Running on oeis4.)