A268362 -id:A268362 - cp's OEIS frontend

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

R. H. Hardin, Feb 05 2016

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

			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

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

Diagonal is A268362.
Column 1 is A000142.
Row 2 is A000079.
Row 3 is A000400.

cp's OEIS Frontend

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

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