[seqfan] Re: Unique Products Regarding Binary Matrices

[Leroy Quet]

For those of you who are confused about what I am asking, here is a sample 9-by-9 grid with just 16 distinct values that occur. (14 products don't occur elsewhere.)
There seem to be a number of 16-unique-products solutions, perhaps.

1 0 1 0 0 0 1 1 0
1 0 0 1 1 1 1 1 0
0 1 1 1 0 0 0 0 0
1 0 0 1 1 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 1 1 0 0 0 1
0 0 0 0 0 0 0 1 1
0 0 0 1 1 0 0 1 1
1 1 1 0 0 0 1 1 1

The row products are:
1*1*1*3*2*1 = 6, 1*2*5*1 = 10, 1*3*5 = 15, continuing:
16, 9, 18, 14, 24, 27.

And the column products:
2*1*1*4*1 = 8, 2*1*5*1 = 10, 1*1*1*5*1 = 5, continuing:
3, 1, 7, 12, 24, 20

So, the products 2 and 4 don't occur in my partial "solution".

Thanks,
Leroy Quet

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