On the Stern sequence and its twisted version

Details On the Stern sequence and its twisted version On the Stern sequence and its twisted version

2012-02-19

arxiv.org/abs/1202.4171v1

Mathematics

Number Theory

Scientific paper

In a recent preprint on ArXiv, Bacher introduced a twisted version of the Stern sequence. His paper contains in particular three conjectures relating the generating series for the Stern sequence and for the twisted Stern sequence. Soon afterwards Coons published two papers in {\it Integers}: first he proved these conjectures, second he used his result to obtain a correlation-type identity for the Stern sequence. We recall here a simple result of Reznick and we state a similar result for the twisted Stern sequence. We deduce an easy proof of Coons' identity, and a simple proof of Bacher's conjectures. Furthermore we prove identities similar to Coons' for variations on the Stern sequence that include Bacher's sequence.

Affiliated with

Also associated with

No associations

Rating

On the Stern sequence and its twisted version does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Stern sequence and its twisted version, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Stern sequence and its twisted version will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419575