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A278414 T(n,k)=Number of nXk 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 4 18:13 EDT 2022. Contains 357239 sequences. (Running on oeis4.)