[seqfan] Re: Numbers with squarefree exponents in their prime factorizations

Vladimir Shevelev shevelev at bgu.ac.il
Thu Sep 3 17:20:59 CEST 2015


An upper estimate for density of A209061
is 1-1/zeta(5)+1/zeta(4)=0.95955...

Best regards,
Vladimir
________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Charles Greathouse [charles.greathouse at case.edu]
Sent: 02 September 2015 22:19
To: Sequence Fanatics Discussion list
Subject: [seqfan] Numbers with squarefree exponents in their prime      factorizations

I was looking at sequence A209061 today and wondered what its density was.
With A046100 as a subsequence it's at least 1/zeta(4) = 0.92..., of course.
But I can't quite figure out what Euler product to use here -- can anyone
help out to improve the sequence?

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

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