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

Peter Munn techsubs at pearceneptune.co.uk
Sun Dec 23 02:43:14 CET 2018

Also the data section looks suspiciously similar to that for A061284 with
its offset "1,2" appended. A061284 is "Duplicate of A016017."


On Sat, December 22, 2018 8:53 pm, Peter Munn wrote:
> 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,
> Peter
> 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.

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