Not yet in OEIS: Product of odd divisors of n?
Richard Mathar
mathar at strw.leidenuniv.nl
Thu Jun 26 22:25:18 CEST 2008
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
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