[seqfan] Re: Verifying sequence pertaining to Roman numerals and divisors

[Alonso Del Arte]

> Does 143 belong? It is CXLIII, with non-consecutive substring divisors XI
and XIII, but no consecutive divisor.

I wouldn't count it, but thank you very much for bringing it up, Don.

> If I remember correctly, for example, 4 was originally represented as
IIII, and only later as IV.

Yes, Hugo, and you can probably find clocks like that without much
difficulty even today. If 4 is IIII and 9 is VIIII, then this sequence
becomes a lot less interesting.

Al



On Fri, Mar 24, 2023 at 9:57 PM Don Reble <djr at nk.ca> wrote:

> > Numbers *n* such that the Roman numeral representation has at least
> > one nontrivial divisor of *n* as a substring
> > 8, 12, 15, 18, 20, 22, 24, 25, etc.
>
>     Does 143 belong? It is CXLIII, with non-consecutive
>     substring divisors XI and XIII, but no consecutive divisor.
>
> --
> Don Reble  djr at nk.ca
>
>
>

-- 
Alonso del Arte