[seqfan] Re: A true Mac Mahon ruler?

[Frank Adams-watters]

If a ruler can measure each distance between 1 and n exactly once, n must be a triangular number.

Franklin T. Adams-Watters


-----Original Message-----
From: Éric Angelini <eric.angelini at skynet.be>
To: Sequence Discussion list <seqfan at list.seqfan.eu>
Sent: Tue, Jun 25, 2019 1:00 pm
Subject: [seqfan] A true Mac Mahon ruler?

Hello SeqFans, 
The first 8 terms of A002049 are:
1,3,7,12,20,30,44 and 59.
I see that I can measure 29 in two
ways with this ruler (I thought only
one way was authorized):
30-1=29
59-30=29
I am obviously missing smthg as this
is an ancient seq. signed by Neil himself.
Anyway -- is it possible to build a
wooden ruler with as few as possible 
vertical marks such that all integers 
measures between 1 and 200 can
be materialized only once?
I guess this sort of question is as
old as the hat I'm wearing right now to 
avoid the killer sun we currently have
in Brussels. Forgive me.
(and if this seq is already 
in the OEIS, my shame will
be complete).
Best,
É.



--
Seqfan Mailing list - http://list.seqfan.eu/