A331648 - OEIS

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A331648

Number of nonnegative integer matrices with distinct nonzero rows, total sum n and columns with equal sums.

1, 4, 16, 91, 546, 5094, 47306, 561190, 7098943, 103345704, 1622632638, 28216141886, 526858348514, 10659286804538, 230286817182060, 5319206290975993, 130370767029136518, 3386434807625742926, 92801587319328412310, 2677967917777310591454, 81124837170900250181072

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

FORMULA

a(n) = Sum_{d|n} A331568(d/n, d).

EXAMPLE

The a(2) = 4 matrices are:

[1 0] [0 1] [1 1] [2]

[0 1] [1 0]

CROSSREFS