OEIS conventions
N. J. A. Sloane
njas at research.att.com
Sun May 20 18:15:17 CEST 2007
some m > n?
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Date: Sun, 20 May 2007 19:02:55 -0700 (PDT)
From: Robert Israel <israel at math.ubc.ca>
To: Leroy Quet <qq-quet at mindspring.com>
cc: seqfan at ext.jussieu.fr
Subject: Re: product k^mu(n+1-k)
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According to Maple there are no repetitions up to n=25000.
I suspect there are none, though of course this isn't a proof.
Cheers,
Robert Israel
On Sun, 20 May 2007, Leroy Quet wrote:
> Let {a(k)} be the sequence of positive rationals where a(n) = product{k=1
> to n} k^mu(n+1-k), where mu(k) is the Mobius (Moebius) function.
>
> (a(n) = A130088(n)/A130089(n).)
>
> Just wondering... What is the smallest value of n where a(n) = a(m) for
> some m > n?
>
> The sequence of rationals tends downwards, it seems, but it is a bumpy
> plot -- so there seems to be plenty of opportunity for the same rational
> to occur two or more times in the sequence.
>
>
> Thanks,
> Leroy Quet
>
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