Generalization of an Identity of Andrews

Details Generalization of an Identity of Andrews Generalization of an Identity of Andrews

2006-04-12

arxiv.org/abs/math/0604280v2

Fibonacci Quarterly 44, May 2006, 166-171

Mathematics

Combinatorics

8 pages, corrected typos, added references

Scientific paper

We consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G. E. Andrews. Several authors provided proofs of this identity, all of them rather involved or else relying on sophisticated number theoretical arguments. We not only give a simple and elementary proof, but also show the identity generalizes to arrays other than Pascal's triangle. As an application we obtain identities relating trinomial coefficients and Catalan's triangle to Fibonacci numbers.

Affiliated with

Also associated with

No associations

Rating

Generalization of an Identity of Andrews 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 Generalization of an Identity of Andrews, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalization of an Identity of Andrews will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225524