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A268472 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with column sums equal. 5
1, 1, 2, 1, 4, 6, 1, 8, 36, 24, 1, 16, 216, 648, 120, 1, 32, 1296, 19584, 19800, 720, 1, 64, 7776, 643680, 4140000, 972000, 5040, 1, 128, 46656, 22374144, 1007460000, 1936704000, 69060600, 40320, 1, 256, 279936, 807480576, 269568000000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

......1..........1.............1.............1............1..............1

......2..........4.............8............16...........32.............64

......6.........36...........216..........1296.........7776..........46656

.....24........648.........19584........643680.....22374144......807480576

....120......19800.......4140000....1007460000.269568000000.76711698000000

....720.....972000....1936704000.4757348160000

...5040...69060600.1610574336000

..40320.6756825600

.362880

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..50

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Diagonal is A268362.

Column 1 is A000142.

Row 2 is A000079.

Row 3 is A000400.

Sequence in context: A158983 A261642 A185947 * A079474 A091543 A330858

Adjacent sequences:  A268469 A268470 A268471 * A268473 A268474 A268475

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 05 2016

STATUS

approved

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Last modified June 15 19:31 EDT 2021. Contains 345049 sequences. (Running on oeis4.)