A267997 - OEIS

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, 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

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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