On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs

Details On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs

2011-02-25

arxiv.org/abs/1102.5186v1

Mathematics

Combinatorics

Scientific paper

We give a direct and simple proof of Touchard's continued fraction, provide an extension of it, and transform it into similar expansions related to Motzkin and Schroeder numbers. Another proof is then given that uses only induction. We use this machinery on two examples that appear in recent papers of Josuat-Verges; with an additional parameter, these two can be treated simultaneously.

Affiliated with

Also associated with

No associations

Rating

On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs 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 Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709547