[seqfan] Re: What is a "Q unit fraction"?

rgwv at rgwv.com rgwv at rgwv.com
Wed Dec 26 04:34:54 CET 2018


Dear Neil,

	You asked me this over a decade ago to which I answered you. I no longer have that information.

	Also I believe that there was a reference which has been removed. 

	That's the best I can do presently.

Respectfully yours, Bob.

-----Original Message-----
From: SeqFan <seqfan-bounces at list.seqfan.eu> On Behalf Of Neil Sloane
Sent: Saturday, 22 December, 2018 3:18 PM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: What is a "Q unit fraction"?

I will ask Bob Wilson directly

In the mean time I added "obsc" (to A016013).

Q is pretty certainly a numerical value (or range), since A016017 is %N A016017 Smallest k such that 1/k can be written as a sum of exactly 2 unit fractions in n ways.
and - also from Bob Wilson  - there is:
%N A018892 Number of ways to write 1/n as a sum of exactly 2 unit fractions.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Sat, Dec 22, 2018 at 2:46 PM Alex Meiburg <timeroot.alex at gmail.com>
wrote:

> Two guesses. First option: this is a "q-analog" of a unit fraction. 
> There are "q-analogs" of a variety of quantities, but I don't 
> understand them very well and I think you'd have to specify q? Maybe 
> it ends up being independent of q here, though.
>
> Second option: you're misparsing the description, and instead of 
> decomposing into "Q unit fractions", it's decomposing into plain old 
> unit fractions, of which there are Q. Q is some variable that hasn't 
> been properly explained.
>
> Actually, I'd bet on the second one, given that they say "exactly Q" 
> unit fractions, which really suggests that Q is a quantity of unit fractions.
>
> On Sat, Dec 22, 2018, 11:30 AM Sean A. Irvine <sairvin at gmail.com wrote:
>
> > A016013 Number of ways to write 1/n as a sum of exactly Q unit fractions.
> >
> > Not a lot of information to go on here.
> >
> > Sean.
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
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> Seqfan Mailing list - http://list.seqfan.eu/
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