[seqfan] Re: Odd squarefree numbers

Maximilian Hasler maximilian.hasler at gmail.com
Fri Sep 24 03:42:29 CEST 2010


On Thu, Sep 23, 2010 at 8:48 PM, zak seidov <zakseidov at yahoo.com> wrote:
> 1. a(n) = 10^n-th odd squarefree number
> 3. a(n)/10^n at n->oo  =
> (Pi/2)^2 = 2.4674011002723?

This follows from the formula given in oeis.org/classic/A056911 :
A056911(n) = n * (3/2) * zeta(2) + O(n^(1/2)) = n * (3/2) * (pi^2 / 6)
+ O(n^(1/2))

Maximilian




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