login
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.
5
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
1,3
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A000079(n-1).
Column 2 is A269477.
Sequence in context: A137594 A112360 A250485 * A269479 A118040 A073387
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 28 2016
STATUS
approved