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

Author

R. H. Hardin Mar 31 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A001680