[seqfan] Average digit of n^2 is s=2

zak seidov zakseidov at yahoo.com
Wed Aug 26 02:12:03 CEST 2009

Average digit of n^2 is s=2 
(no trailing zeroes in n, please). 
There are 2514 such integers  < 10^7:
145, 152, 179, 251, 3182, 3199, 3245, 3335, 3362,...
Some Qs:
Is there infinitude of  such n's?
Any general properties of such n's?
Case s=1 is trivial, of course,
but what about other values of s? 
Thanks, Zak


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