A188448 T(n,k)=Number of (n*k)Xk binary arrays with nonzero rows in decreasing order, no more than 2 ones in any row and exactly n ones in every column

1, 2, 0, 4, 1, 0, 10, 4, 0, 0, 26, 18, 1, 0, 0, 76, 112, 10, 0, 0, 0, 232, 820, 112, 1, 0, 0, 0, 764, 6912, 1760, 26, 0, 0, 0, 0, 2620, 66178, 35150, 820, 1, 0, 0, 0, 0, 9496, 708256, 848932, 35150, 76, 0, 0, 0, 0, 0, 35696, 8372754, 24243520, 1944530, 6912, 1, 0, 0, 0, 0

Offset

1,2

Comments

Table starts

.1.2.4.10..26...76...232.....764......2620........9496.........35696

.0.1.4.18.112..820..6912...66178....708256.....8372754.....108306280

.0.0.1.10.112.1760.35150..848932..24243520...805036704...30649435140

.0.0.0..1..26..820.35150.1944530.133948836.11234051976.1127512146540

.0.0.0..0...1...76..6912..848932.133948836.26615510712

.0.0.0..0...0....1...232...66178..24243520

.0.0.0..0...0....0.....1.....764

.0.0.0..0...0....0.....0

.0.0.0..0...0....0

.0.0.0..0...0

Links

R. H. Hardin, Table of n, a(n) for n = 1..108

Example

All solutions for 9X3
..1..1..0
..1..0..1
..1..0..0
..0..1..1
..0..1..0
..0..0..1
..0..0..0
..0..0..0
..0..0..0

Crossrefs

Row 1 is A000085

Row 2 is A000986

Row 3 is A110040

Row 4 is A139670

Row 5 is A139671

Row 6 is A139673

Row 7 is A139674

Row 8 is A139675

Sequence in context: A272098 A291929 A327807 * A370412 A355917 A304789

Adjacent sequences: A188445 A188446 A188447 * A188449 A188450 A188451

Keyword

nonn,tabl

Author

R. H. Hardin Mar 31 2011

Status

approved