Continued Fractions of Harmonic Numbers

[Robert G. Wilson v]

Not I. Bob.

Leroy Quet wrote:

>>Has someone (Leroy, RGWv, ?) submitted the other three relevant sequences:
>> 1) a(n) = Length of continued fraction for 1/1 + 1/2 + 1/3 + ... + 1/n
>> 2) b(n) = Smallest m such that the length of the continued fraction is n
>> 3) c(n) = Largest m such that the length of the continued fraction is n.
>>
>>If nobody else has, I'm happy to, but I think Leroy deserves most of
>>the credit since all three of these sequences were his ideas to begin
>>with.
>>
>>Thanks,
>>--Joshua Zucker
> 
> 
> 
> I have not submitted the last2.
> I think I might have submitted the first ({a(k)}) years ago. (A055573)
> 
> Sequence 3 is only conjectured, isn't it? But should it be submitted 
> anyway?
> 
> 
> thanks,
> Leroy Quet
>