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A269479
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and equal-up in every column.
3
1, 1, 2, 1, 6, 4, 1, 14, 54, 8, 1, 34, 574, 600, 16, 1, 78, 6404, 36028, 9102, 32, 1, 178, 72110, 2316638, 3572724, 188472, 64, 1, 398, 816583, 154086724, 1572704377, 548242672, 5118012, 128, 1, 882, 9323584, 10654939686
OFFSET
1,3
COMMENTS
Table starts
...1.......1.........1..........1.........1...........1.......1...1.1
...2.......6........14.........34........78.........178.....398.882
...4......54.......574.......6404.....72110......816583.9323584
...8.....600.....36028....2316638.154086724.10654939686
..16....9102...3572724.1572704377
..32..188472.548242672
..64.5118012
.128
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..2. .2..1..1..0. .0..1..0..1. .0..2..1..1. .2..1..0..0
..2..1..1..1. .1..2..2..1. .0..2..0..2. .1..2..2..0. .2..1..0..1
..0..2..0..0. .0..2..0..0. .1..2..1..2. .0..1..2..0. .0..2..1..2
CROSSREFS
Column 1 is A000079(n-1).
Row 2 is A059570(n+1).
Sequence in context: A112360 A250485 A269505 * A118040 A073387 A259099
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 27 2016
STATUS
approved