A278385 T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 40, 74, 40, 0, 1, 267, 1220, 1220, 267, 1, 8, 1350, 12910, 23640, 12910, 1350, 8, 36, 5936, 100807, 368421, 368421, 100807, 5936, 36, 120, 23565, 652343, 4703562, 8632118, 4703562, 652343, 23565, 120, 330, 84912, 3750182

Offset: 1

Author

R. H. Hardin, Nov 20 2016

Keywords

• nonn
• tabl

Comments

Table starts

...0......0........0...........0..............0................1

...0......0........3..........40............267.............1350

...0......3.......74........1220..........12910...........100807

...0.....40.....1220.......23640.........368421..........4703562

...0....267....12910......368421........8632118........179716850

...1...1350...100807.....4703562......179716850.......6204309386

...8...5936...652343....50473056.....3325788157.....198563803019

..36..23565..3750182...474255829....54735436424....5851197688577

.120..84912.19784428..4047341159...813247916326..157794170262819

.330.278422.96786947.32112086692.11132424779200.3912513274701995

Examples

			Some solutions for n=4 k=4
..0..1..1..0. .0..1..1..0. .1..0..1..0. .0..0..0..1. .0..0..0..0
..0..1..0..0. .0..1..1..1. .1..0..0..0. .1..1..1..1. .0..1..0..0
..1..0..0..1. .1..1..0..0. .1..0..1..0. .1..1..0..1. .1..1..1..0
..1..0..1..1. .0..0..1..0. .1..1..1..0. .0..1..1..1. .1..1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..219

Crossrefs

Column 1 is A000580(n+1).

Formula

Empirical for column k:

k=1: [polynomial of degree 7]

k=2: [polynomial of degree 15]

k=3: [polynomial of degree 31]

k=4: [polynomial of degree 63]

k=5: [polynomial of degree 127]