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A211709 T(n,k) = number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and every value unique in its row and column. 1
1, 1, 1, 1, 4, 1, 1, 18, 18, 1, 1, 108, 588, 108, 1, 1, 780, 30240, 30240, 780, 1, 1, 6600, 2277600, 17427192, 2277600, 6600, 1, 1, 63840, 234440280, 17741309400, 17741309400, 234440280, 63840, 1, 1, 693840, 31448589480 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

Table starts:

.1.....1.........1...........1...........1.........1...........1......1.1

.1.....4........18.........108.........780......6600.......63840.693840

.1....18.......588.......30240.....2277600.234440280.31448589480

.1...108.....30240....17427192.17741309400

.1...780...2277600.17741309400

.1..6600.234440280

.1.63840

.1

Some solutions for n=4, k=4:

..0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3

..1..4..0..2....1..2..0..4....4..2..0..1....1..0..3..2....1..0..3..2

..2..0..5..1....2..0..1..5....1..0..3..2....2..3..0..4....4..2..0..1

..3..2..1..4....3..4..5..0....2..3..1..0....3..2..1..0....5..3..1..0

CROSSREFS

Column 2 is A144085.

Sequence in context: A177262 A203092 A139167 * A323849 A254442 A176422

Adjacent sequences:  A211706 A211707 A211708 * A211710 A211711 A211712

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 19 2012

STATUS

approved

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Last modified April 9 20:46 EDT 2020. Contains 333363 sequences. (Running on oeis4.)