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

Peter Munn techsubs at pearceneptune.co.uk
Sat Dec 22 21:53:33 CET 2018

The neighbouring sequence, A016012 used to be called "Number of ways to
write 1/n as a sum of exactly n unit fractions.", which clearly did not
match the data - see the example in A227610, explaining A227610(3) = 15.

Best Regards,


On Sat, December 22, 2018 7:46 pm, Alex Meiburg 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.
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