[seqfan] Re: Help with sequence
andrew at nevercenter.com
andrew at nevercenter.com
Wed Aug 26 05:01:23 CEST 2009
To clarify a bit more, the "x" I'm referring to in the paragraph I've
quoted below is the variable x in this equation
x^2 + n = y^2
The x values in these equations:
4x^2 + n = y^2
9x^2 + n = y^2
and so forth should read:
4x_1^2 + n = y^2
9x_2^2 + n = y^2
where x != x_1 != x_2, and so on.
-Andrew Plewe-
Quoting andrew at nevercenter.com:
> By doing so we also find out information about the properties of x
> (indeed, 5 and 7 are divisors of allowable x values, while 2, 3, and 11
> are not). I haven't shown here how you can conclude this, but it's fairly
> trivial (it relates to the figurate nature of square numbers).
>
> -Andrew Plewe-
>
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