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

1,5

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

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 8]

k=2: [polynomial of degree 26]

k=3: [polynomial of degree 80]

Example

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

Crossrefs

Column 1 is A005716(n+1).

Sequence in context: A040416 A347691 A040417 * A003833 A040418 A140116

Adjacent sequences: A278411 A278412 A278413 * A278415 A278416 A278417

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 21 2016

Status

approved