A188449 T(n,k)=Number of (n*k)Xk binary arrays with nonzero rows in decreasing order, no more than 3 ones in any row and exactly n ones in every column

1, 2, 0, 5, 1, 0, 14, 8, 0, 0, 46, 66, 5, 0, 0, 166, 722, 139, 1, 0, 0, 652, 9955, 4944, 139, 0, 0, 0, 2780, 165252, 244490, 16683, 66, 0, 0, 0, 12644, 3221806, 15980350, 2876300, 30090, 14, 0, 0, 0, 61136, 72445292, 1330789145, 703845255, 18014566, 30090, 1, 0, 0

Offset

1,2

Comments

Table starts

.1.2.5..14....46.......166..........652...........2780...........12644

.0.1.8..66...722......9955.......165252........3221806........72445292

.0.0.5.139..4944....244490.....15980350.....1330789145....137418347276

.0.0.1.139.16683...2876300....703845255...235994839738.105035943170557

.0.0.0..66.30090..18014566..15978843654.20633840650794

.0.0.0..14.30090..64224371.203200240829

.0.0.0...1.16683.135725210

.0.0.0...0..4944

.0.0.0...0

.0.0.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..80

Example

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

Crossrefs

Row 1 is A001680

Sequence in context: A155759 A202209 A201730 * A177267 A188445 A350158

Adjacent sequences: A188446 A188447 A188448 * A188450 A188451 A188452

Keyword

nonn,tabl

Author

R. H. Hardin Mar 31 2011

Status

approved