[seqfan] Re: Romans with toothpicks
franktaw at netscape.net
franktaw at netscape.net
Tue Jan 5 17:57:42 CET 2010
Just after I submitted my mail, I found
http://www.research.att.com/~njas/sequences/A002963, which at least
provides an answer to my questions up to 4000. (And "chisel strokes"
is a better description than "toothpicks".) So if we say one chisel
stroke to multiply by 1000 from 'V' on, we have a reasonably simple and
standard definition. So I guess I withdraw my objection.
I still wouldn't submit the sequence, myself.
Franklin T. Adams-Watters
-----Original Message-----
From: Eric Angelini <Eric.Angelini at kntv.be>
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?
Franklin T. Adams-Watters
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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