A269477 -id:A269477 - cp's OEIS frontend

A269505 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and column.

1, 1, 2, 1, 6, 4, 1, 14, 54, 8, 1, 34, 420, 600, 16, 1, 92, 3088, 18332, 9102, 32, 1, 258, 25226, 480440, 1261420, 188472, 64, 1, 722, 239994, 13522204, 135988690, 134871120, 5118012, 128, 1, 2022, 2338286, 492613956, 14911788936, 69071316466

Offset: 1

R. H. Hardin, Feb 28 2016

Table starts
...1.........1...........1...........1...........1.........1...........1
...2.........6..........14..........34..........92.......258.........722
...4........54.........420........3088.......25226....239994.....2338286
...8.......600.......18332......480440....13522204.492613956.18677195738
..16......9102.....1261420...135988690.14911788936
..32....188472...134871120.69071316466
..64...5118012.21338020496
.128.172101936
.256

			Some solutions for n=3 k=4
..1..0..0..0. .1..2..0..0. .1..0..0..1. .0..0..1..0. .1..1..2..2
..2..2..1..0. .1..1..2..2. .0..2..2..2. .2..2..1..1. .2..2..1..0
..2..2..1..1. .0..0..2..1. .0..2..1..1. .0..2..2..1. .0..0..1..0

R. H. Hardin, Table of n, a(n) for n = 1..49

Column 1 is A000079(n-1).

Column 2 is A269477.

cp's OEIS Frontend

A269505 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and column.

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