[seqfan] Re: A001481 - Numbers that are the sum of 2 nonnegative squares

Max Alekseyev maxale at gmail.com
Fri Sep 11 23:54:55 CEST 2009


The following discussion seems to be relevant:
http://www.math.niu.edu/~rusin/known-math/93_back/2squares

Regards,
Max

On Fri, Sep 11, 2009 at 4:59 PM, Dan Dima <dimad72 at gmail.com> wrote:
> Hi,
>
>
> I have a question regarding A001481 - Numbers that are the sum of 2
> non negative squares.
> It is known that these numbers contain prime factors 3 mod 4 at even powers and:
> lim n->inf.  A001481(n)/n = inf.
> I have searched the Internet if a better result exists like:
> A001481(n) = O(n*log(n)) or
> lim n->inf.  A001481(n)/n^a = C
> but I did not find anything and I could not find myself something
> similar at first sight....
> Is anyone aware if such result exists?
>
>
> Thank you,
> Dan
>
>
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