Sequence Involving Continued....(fixed)

Leroy Quet qqquet at mindspring.com
Sun Jan 27 01:51:31 CET 2002


I, Leroy Quet wrote:
>Consider the following recursion.

>Let r_1 = 1;

>r_{n+1} = [r_1; r_2, r_3,..., r_n], 

>a continued fraction, where the sequence {r_k} is a sequence of rationals.

>The denominators of {r_k} is sequence A064846 
>of the On-Line Encyclopedia of Integer Sequences.

>Let the m_th denominator be a(m).

>Does d(m) always divide d(m+1) ?


I made a mistake.
The question should be: Does a(m) divide a(m+1) ?

Thanks,
Leroy Quet





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