[seqfan] Re: A079353

Ray Chandler rayjchandler at sbcglobal.net
Tue May 20 16:27:22 CEST 2014


Dave, 
I confirm that definition matches the listed terms and continues with 4549, 4550  and no others less than 10000.
Ray

> I suspect, without deep investigation, that what was meant by "best rational
> approximation to" is "continued fraction convergent"
> 
> The continued fraction convergents to H(10)=7381/2520 are 2, 3, 41/14,
> 495/169, ...
> 
> The continued fraction convergents to H(31) are 4, 145/36, 149/37, 443/110,
> ...
> 
> The continued fraction convergents to H(82) are 4, 5, 499/100, 2001/401, ...
> 
> I haven't verified that the rest of the terms match this definition.
> 
> -Dave
> 




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