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Big areas (Posted on 2013-09-17) Difficulty: 3 of 5
How many Pythagorean triangles are there whose area is expressed by 9 different digits?

Provide the values for the smallest and the biggest of them.

No Solution Yet Submitted by Ady TZIDON    
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re: att: Charlie | Comment 12 of 16 |
(In reply to att: Charlie by Ady TZIDON)

There could be a few interesting sequences here:

A sequence of all possible areas of PTs that have all digits distinct.

A(n)=the number of possible areas of PTs with n distinct digits for n=0,...,10

You could also remove the word 'distinct' but I might guess those exist already.

You could also add the word 'primitive' to each.

So that's 8 sequences right there.

  Posted by Jer on 2013-09-18 11:31:48

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