A188416 T(n,k)=Number of (n*k)Xk binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.

1, 2, 1, 5, 3, 1, 14, 16, 4, 1, 46, 124, 39, 5, 1, 166, 1308, 723, 81, 6, 1, 652, 17443, 21965, 3217, 150, 7, 1, 2780, 282349, 968230, 252493, 11712, 256, 8, 1, 12644, 5396178, 57967660, 33313408, 2181522, 36659, 410, 9, 1, 61136, 119324602, 4505774905

Offset: 1

Author

R. H. Hardin Mar 30 2011

Keywords

• nonn
• tabl

Comments

Table starts

.1..2....5.....14........46..........166............652............2780

.1..3...16....124......1308........17443.........282349.........5396178

.1..4...39....723.....21965.......968230.......57967660......4505774905

.1..5...81...3217....252493.....33313408.....6720357785...1943505834628

.1..6..150..11712...2181522....793369090...498407294632.497114063711190

.1..7..256..36659..15083334..14100262412.25784105550034

.1..8..410.101829..87171345.197263686098

.1..9..625.256901.434626896

.1.10..915.598561

.1.11.1296

Examples

			All solutions for 6X2
..1..1....1..1....1..0....1..1
..1..0....1..1....1..0....1..1
..1..0....1..1....1..0....1..0
..0..1....0..0....0..1....0..1
..0..1....0..0....0..1....0..0
..0..0....0..0....0..1....0..0
		

Links

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

Crossrefs

Column 3 is A011863(n+1)

Row 1 is A001680