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

[Dan Dima]

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