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.

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

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