Experimental study on Ω(n) and Ω(reverse(n)) for n ≤ 1 000 000. (mismatch)

[Davide Rotondo]

Hi dear seq fans, 

The analysis shows a nearly logarithmic growth of the maximum observed difference (from 7 to 17) as the interval increases by an order of magnitude.
We hypothesize that the maximum possible value of |Ω(n)−Ω(reverse(n))| tends to grow as O(logn/loglogn), consistent with the average growth of Ω(n).

The peak is at +1 and −1, but the absolute mean increases slightly with n.

What do you think?

Davide

[flying truce]

bro daniel chill, it's not that deep

On Wed, Oct 29, 2025, 20:18 Daniel Mondot <dmo...@gmail.com> wrote:

"We" ?

Is that a royal "we", or we as in "you + ChatGPT" ?

And you want to clarify what you mean by "reverse(n)".

Is that a bit-wise reversal, or something else?

--
You received this message because you are subscribed to the Google Groups "SeqFan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to seqfan+un...@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/seqfan/0b44a0ec-ba06-443b-9172-00e0bfa12070n%40googlegroups.com.

--
You received this message because you are subscribed to the Google Groups "SeqFan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to seqfan+un...@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/seqfan/CAD5iKahW_gC%2Bnn2DxBvmwGxdE7kY8f73jsj4CzhKucwFb7F8bA%40mail.gmail.com.