[seqfan] Re: Divisibility sequences in OEIS.
T. D. Noe
noe at sspectra.com
Sat Dec 12 02:26:22 CET 2009
>What is a divisibility sequence? Just glancing at examples doesn't
>tell me.
>
>There is no definition for divisibility sequence in either Mathworld or
>Wikipedia. (Wikipedia does have an entry for Elliptic Divisibility
>Sequence.) Does this term (without the elliptic) occur in the
>mathematical literature anywhere? (A087612 has a reference to a paper
>it claims is titled "Primes in Divisibility Sequences"; but tracking
>down the link, I find it is actually titled "Primes in Elliptic
>Divisibility Sequences".)
The concept is a topic in the book "Recurrence Sequences" by Everest, et al.
a(n) is a divisibility sequence if k divides m implies a(k) divides a(m).
Tony
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