A268472 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with column sums equal.

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

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