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A268103 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row and column greater than or equal to the previous repeated value. 5
2, 9, 4, 64, 81, 8, 615, 4096, 729, 15, 7536, 378225, 262144, 6084, 28, 112476, 56791296, 232608375, 15625000, 49284, 51, 1981512, 12650850576, 427979206656, 134114290153, 895841344, 386884, 92, 40265487, 3926389806144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2.....9........64............615.................7536................112476

..4....81......4096.........378225.............56791296...........12650850576

..8...729....262144......232608375.........427979206656......1422917069386176

.15..6084..15625000...134114290153.....3042807800530752.151823094341278467866

.28.49284.895841344.74223748225767.20777755411841736998

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..48

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)

k=2: [order 15]

k=3: [order 40]

EXAMPLE

Some solutions for n=5 k=4

..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1

..0..0..0..1....0..0..0..1....0..0..0..2....0..0..0..3....0..0..0..0

..0..0..0..0....0..0..3..0....0..0..0..4....0..0..1..0....0..0..1..3

..1..1..1..1....0..1..0..4....4..0..1..4....3..4..0..1....4..1..0..4

CROSSREFS

Column 1 is A029907(n+1).

Column 2 is A268014.

Column 3 is A267994.

Sequence in context: A268204 A268249 A268246 * A127145 A210423 A003725

Adjacent sequences:  A268100 A268101 A268102 * A268104 A268105 A268106

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 26 2016

STATUS

approved

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Last modified December 6 14:15 EST 2019. Contains 329806 sequences. (Running on oeis4.)