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A278627 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. 7
0, 3, 3, 16, 46, 16, 51, 357, 357, 51, 126, 1952, 4754, 1952, 126, 266, 8518, 49503, 49503, 8518, 266, 504, 31605, 439446, 1069536, 439446, 31605, 504, 882, 103546, 3438414, 21121532, 21121532, 3438414, 103546, 882, 1452, 307087, 24103803 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....0......3........16............51..............126.................266

....3.....46.......357..........1952.............8518...............31605

...16....357......4754.........49503...........439446.............3438414

...51...1952.....49503.......1069536.........21121532...........387542112

..126...8518....439446......21121532........978005050.........43853346948

..266..31605...3438414.....387542112......43853346948.......4902306226424

..504.103546..24103803....6594175430....1892563134910.....540194658701142

..882.307087.153073965..103536313036...77595353266488...58237100230743229

.1452.838936.888863183.1496475492375.2984253200734849.6049936223396297740

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = (1/120)*n^5 + (1/8)*n^4 + (5/24)*n^3 - (1/8)*n^2 - (13/60)*n

k=2: [polynomial of degree 15]

k=3: [polynomial of degree 43]

k=4: [polynomial of degree 125]

EXAMPLE

Some solutions for n=3 k=4

..1..1..0..0. .2..2..1..1. .1..1..1..0. .2..1..0..0. .1..2..1..1

..1..0..1..0. .1..1..2..2. .2..2..2..1. .2..1..1..0. .1..2..2..0

..2..1..1..2. .2..0..2..2. .2..1..0..1. .0..0..2..2. .2..1..0..1

CROSSREFS

Column 1 is A000574(n+1).

Sequence in context: A278309 A048234 A127539 * A231908 A226610 A279172

Adjacent sequences:  A278624 A278625 A278626 * A278628 A278629 A278630

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 24 2016

STATUS

approved

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Last modified April 19 16:49 EDT 2019. Contains 322282 sequences. (Running on oeis4.)