Convoluted convolved Fibonacci numbers

Details Convoluted convolved Fibonacci numbers Convoluted convolved Fibonacci numbers

2003-11-12

arxiv.org/abs/math/0311205v1

J. Integer Seq. 7 (2004), Aricle 04.2.2, pp. 14 (electronic)

Mathematics

Combinatorics

12 pages, 3 tables

Scientific paper

The convolved Fibonacci numbers F_j^(r) are defined by (1-z-z^2)^{-r}=\sum_{j>=0}F_{j+1}^(r)z^j. In this note some related numbers that can be expressed in terms of convolved Fibonacci numbers are considered. These numbers appear in the numerical evaluation of a certain number theoretical constant. This note is a case study of the transform {1/n}\sum_{d|n}mu(d)f(z^d)^{n/d}, with f any formal series and mu the Moebius function), which is studied in a companion paper entitled `The formal series Witt transform'.

Affiliated with

Also associated with

No associations

Rating

Convoluted convolved Fibonacci numbers 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 Convoluted convolved Fibonacci numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convoluted convolved Fibonacci numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337544