Not yet in OEIS: Product of odd divisors of n?

[Vladeta Jovovic]

a(n) =
sqrt(n^od(n)/2^ed(n)), where od(n) = number of odd divisors of n = 
tau(2*n)-tau(n) and ed(n) = number of even divisors of n = 
2*tau(n)-tau(2*n).



V.



----- Original Message ----- 
From: "Jonathan Post" <jvospost3 at gmail.com>
To: "SeqFan" <seqfan at ext.jussieu.fr>
Sent: Thursday, June 26, 2008 1:55 AM
Subject: Not yet in OEIS: Product of odd divisors of n?


> Am I missing something obvious?  I don't see in OEIS:
>
> Product of odd divisors of n
>
> 1, 1, 3, 1, 5, 3, 7, 1, 27, 5, 11, 3, 13, 7, 225, 1, 17, 27, 19, 5,
> 441, 11, 23, 3, 125, ...
>
> Cf. A000265, A000593, A007955, A007956, A078701
>
> a(p) = p, if p noncomposite
> a(2^n) = 1.
> a(pq) = p^2 * q^2 when p, q both odd primes
>
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