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

[Richard Mathar]

On Wed, Jun 25, 2008 at 8:12 AM, Jonathan Post <jvospost3 at gmail.com> wrote:
> Primes with Lucas number digital root.
>
> This is to A000032 as A003147 is to A000045.

DIGITAL root would be utterly boring.

PRIMITIVE root is pretty uninteresting too; lots of numbers are
primitive roots for prime mods, right?  I suppose phi(p-1), which I
guess could be small for those special primes where p-1 has a lot of
different prime factors.  Still.  At least this is actually a property
of the numbers.

But wait, you're talking about
http://research.att.com/~njas/sequences/A003147 ?  It already covers
Lucas, since the only "Fibonacci" thing about it is that the numbers
satisfy the Fibonacci-type equation g^2 = g+1, not that they are
actually 1,1,2,3,5,8,...

So the correct analogy is A003147 is to A000032 as A003147 is to A000045.

--Joshua Zucker