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

Author

R. H. Hardin, Jan 26 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A029907(n+1).

Column 2 is A268014.

Column 3 is A267994.

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]