[seqfan] Re: Orderly Numbers
Frederick Schneider
frederick.william.schneider at gmail.com
Sat Oct 31 01:29:15 CET 2009
Nice concept here.
Is there a special term for an orderly n where tau(n) = k-1?
On Fri, Oct 30, 2009 at 12:12 PM, T. D. Noe <noe at sspectra.com> wrote:
> At 9:05 AM -0700 10/30/09, Andrew Weimholt wrote:
>>On Fri, Oct 30, 2009 at 8:34 AM, Alonso Del Arte
>><alonso.delarte at gmail.com> wrote:
>>> A potentially dumb question, but: how do you choose the k for each n? Are
>>> there "orderly" numbers with only one choice for k and others with lots of
>>> choices?
>>>
>>> Al
>>
>>Yes, some orderly numbers have only 1 choice of k, and some have more.
>>For example, for n=8, k can only be 5, but for n=71, k can be 3, 23, or 69.
>>Or search for k is limited to tau(n) < k < n-1.
>
> For composite orderly numbers n, it appears that k can be taken to be
> tau(n)+1, tau(n)+3, or tau(n)+4. Not sure why.
>
> Tony
>
>
>
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