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A189064
T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally
13
2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 21, 144, 316, 256, 32, 37, 441, 1404, 2032, 1024, 64, 65, 1369, 6768, 13452, 13045, 4096, 128, 114, 4225, 33893, 99721, 128628, 83737, 16384, 256, 200, 12996, 167473, 795741, 1492864, 1228512, 537496, 65536, 512, 351, 40000
OFFSET
1,1
COMMENTS
Table starts
....2.......4.........7..........12............21..............37
....4......16........49.........144...........441............1369
....8......64.......316........1404..........6768...........33893
...16.....256......2032.......13452.........99721..........795741
...32....1024.....13045......128628.......1492864........19468046
...64....4096.....83737.....1228512......22289912.......477128662
..128...16384....537496....11733712.....333124565.....11711612310
..256...65536...3450100...112065936....4978704008....287687887135
..512..262144..22145617..1070316016...74410715409...7067105036501
.1024.1048576.142149013.10222334864.1112149145053.173620295413143
LINKS
EXAMPLE
Some solutions for 5X3
..1..0..0....0..0..1....1..0..1....0..0..1....0..0..1....1..1..1....1..1..0
..0..0..1....1..1..1....1..0..0....0..0..0....0..0..1....0..0..1....0..1..1
..1..1..1....0..1..1....0..0..1....0..0..0....1..1..0....1..0..0....1..1..1
..1..1..1....1..1..1....0..0..1....0..0..0....1..0..0....0..0..1....0..0..1
..1..0..0....0..0..1....0..1..1....1..0..1....0..0..0....1..1..0....0..1..1
CROSSREFS
Column 2 is Column 1 squared
Column 3 is A188868
Row 1 is A005251(n+3)
Row 2 is A188501
Sequence in context: A189264 A188992 A189617 * A188874 A095061 A184233
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 16 2011
STATUS
approved