[seqfan] Re: How fast are A034090, A034091 growing?

[hv at crypt.org]

I don't have answers, but the ratio seems the more likely to have been
studied in the past.

:Also their ratio seems close to 1, can that be made more precise?

Not sure what you mean here - the last values in the b-files give a ratio
around 5.35, and that will continue to grow.

This is probably just random, but I note that if we call the ratio r_i,
then the r_2750'th root of A034090(2750) is close to r_2750#.

(1034758594602532800 ^ (1 / 5.3525611989641) ~= 2320.85710246872)

Hugo

Neil Sloane <njasloane at gmail.com> wrote:
:Let f(n) = sigma(n)-n, the sum of the divisors d of n with d < n.
:The n for which f(n) reaches a new record high, and the corresponding
:values of f(n), are A034090 and A034091.
:
:The question is, how fast are these growing?
:
:Also their ratio seems close to 1, can that be made more precise?
:
:I'm not hoping for anything rigorous.  I would be happy with a
:statistician's estimate.