# [seqfan] Re: Romans with toothpicks

Eric Angelini Eric.Angelini at kntv.be
Tue Jan 5 17:40:14 CET 2010

```You're right, Franklin... As always, just
after submitting I "saw" the C -- then the D...
We could exclude integers written with those
letters, but... mhâââ, this becomes too com-
plicated -- thus ugly!
Best,
É.

-----Message d'origine-----
De : seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu] De la part de franktaw at netscape.net
Envoyé : mardi 5 janvier 2010 16:41
À : seqfan at list.seqfan.eu
Objet : [seqfan] Re: Romans with toothpicks

Well, now, that does raise some questions.  Is 'X' written with 2
toothpicks or 4?  (Apparently 2 from your data, but it isn't obvious a
priori.)  Are 'C' and 'D' available?  If so, how many toothpicks do
they use?  I could see 2 and 3, respectively, or 0 and 1 (with the
curved parts represented some other way); or maybe you bend the
toothpicks and get 1 and 2.  'M' presumable uses 4.  5000 may be
expressed with 5 M's, or with an underlined or overlined 'V'; in the
latter case, it would presumably require 3 toothpicks.  Then for 15000,
do we use a single toothpick to underline both the 'X' and the 'V', or
are they separate?

P.S. Just my opinion, but -- ick.  Bad enough that it's another Roman
numeral sequence, but posing problems of how to define it on top of
that ....

-----Original Message-----
From: Eric Angelini <Eric.Angelini at kntv.be>

S = 1,2,3,6,9,10,12,20,30...

Integers which, when written in Roman numbers with toothpicks,
are divisible by the quantity of toothpicks they use.

Best,
É.

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