A068625 / A048803

[Maximilian Hasler]

ok this makes sense: "smallest integer root" = A052410,
thus A048803 = partial products of A052410.
Thanks!
Maximilian

On Feb 18, 2008 12:26 AM, Max Alekseyev <maxale at gmail.com> wrote:
> On Feb 17, 2008 12:12 PM, Maximilian Hasler <maximilian.hasler at gmail.com> wrote:
> > The definition of the following sequence is not completely clear IMHO
> > : "smallest integer root" = square free kernel ? then it is an
> > erroneous (a(12)=12a(11) instead of 6 a(11)) duplicate of A048803
> > (included below), afaics.
>
> I think, the "smallest integer root" of n is the smallest positive
> integer m such that n=m^k for some positive integer k.
> In other words, if n=p1^d1*...*pt^dt is prime factorization of n, then
> m=p1^(d1/k)*...*pt^(dt/k) where k = gcd(d1,...,dt).
> Or, in PARI/GP:
>
> { smallestroot(n) = local(r);ispower(n,,&r);r }
>
> This definition seems to be consistent with A068625.
>
> Regards,
> Max
>