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A180995
T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and all numbers unique
1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 6, 28, 6, 0, 0, 0, 0, 6, 187, 187, 6, 0, 0, 0, 0, 4, 780, 2474, 780, 4, 0, 0, 0, 0, 1, 1912, 23621, 23621, 1912, 1, 0, 0, 0, 0, 0, 3108, 171671, 470008, 171671, 3108, 0, 0, 0, 0, 0, 0, 3853, 885923, 7492039, 7492039
OFFSET
1,18
COMMENTS
Table starts
.0.0.0....0........0.........0..........0..........0.........0..........0
.0.0.0....0........0.........0..........0..........0.........0..........0
.0.0.0....3........6.........6..........4..........1.........0..........0
.0.0.3...28......187.......780.......1912.......3108......3853.......3731
.0.0.6..187.....2474.....23621.....171671.....885923...3365708...10119429
.0.0.6..780....23621....470008....7492039...92532010.897123586.6972178362
.0.0.4.1912...171671...7492039..233399774.6228138303.....................
.0.0.1.3108...885923..92532010.6228138303................................
.0.0.0.3853..3365708.897123586...........................................
.0.0.0.3731.10119429.....................................................
LINKS
EXAMPLE
All solutions for 3X4
..0..0..1..1....0..0..1..1....0..1..1..1
..0..1..0..1....0..1..0..1....1..0..0..1
..1..0..0..0....1..0..0..1....1..0..1..0
CROSSREFS
Sequence in context: A199261 A110492 A225413 * A144331 A216805 A167259
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 30 2010
STATUS
approved