A278414 T(n,k)=Number of nXk 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes.

0, 0, 0, 1, 20, 1, 15, 264, 264, 15, 90, 2550, 9354, 2550, 90, 357, 22267, 201539, 201539, 22267, 357, 1107, 166762, 3576730, 11454780, 3576730, 166762, 1107, 2907, 1046418, 58069125, 514122657, 514122657, 58069125, 1046418, 2907, 6765, 5586207

Offset: 1

Author

R. H. Hardin, Nov 21 2016

Keywords

• nonn
• tabl

Comments

Table starts

.....0.........0.............1................15....................90

.....0........20...........264..............2550.................22267

.....1.......264..........9354............201539...............3576730

....15......2550........201539..........11454780.............514122657

....90.....22267.......3576730.........514122657...........62922179364

...357....166762......58069125.......20086951472.........6584300364020

..1107...1046418.....859516239......724313811311.......615691843257769

..2907...5586207...11336482734....24378309172117.....53477639726024161

..6765..25997719..132278417831...757386980723842...4387410446730955493

.14355.107862842.1373129978107.21490393664858691.339567886171232998387

Examples

			Some solutions for n=3 k=4
..1..0..1..2. .0..0..0..0. .0..1..2..0. .0..1..1..2. .1..2..1..2
..0..0..0..2. .1..1..0..1. .0..0..0..1. .0..1..0..2. .0..2..1..0
..2..2..2..1. .0..2..1..1. .2..2..0..1. .2..0..0..2. .0..2..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127

Crossrefs

Column 1 is A005716(n+1).

Formula

Empirical for column k:

k=1: [polynomial of degree 8]

k=2: [polynomial of degree 26]

k=3: [polynomial of degree 80]