Continued Fractions of Harmonic Numbers

Leroy Quet qq-quet at mindspring.com
Mon May 30 23:10:00 CEST 2005


>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





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