Geodesic

Volume 41 (2013)

Table of contents

Sierpinski-like triangle-patterns in Bi- and Fibo-nomial triangles
p. 5-12
Tiling approach to obtain identities for generalized Fibonacci and Lucas numbers
p. 13-17
On factors of sums of consecutive Fibonacci and Lucas numbers
p. 19-25
Some identities for Jacobsthal and Jacobsthal-Lucas numbers satisfying higher order recurrence relations
p. 27-39
Identities in the spirit of Ramanujan's amazing identity
p. 41-55
On h-perfect numbers
p. 57-62
Proof of the Tojaaldi sequence conjectures
p. 63-75
Sums of powers of Fibonacci and Lucas polynomials in terms of Fibopolynomials
p. 77-97
Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers
p. 99-105
Algebraic relations with the infinite products generated by Fibonacci numbers
p. 107-119
On divisibility properties of some differences of Motzkin numbers
p. 121-136
On the Fibonacci distances of ab, ac and bc
p. 137-163
Algebraic independence results for the infinite products generated by Fibonacci numbers
p. 165-173
Sonification of multiple Fibonacci-related sequences
p. 175-192
Primary classes of compositions of numbers
p. 193-204
On second order non-homogeneous recurrence relation
p. 205-210
Some aspects of Fibonacci polynomial congruences
p. 211-217
The On-Line Encyclopedia of Integer Sequences
p. 219-234
A representation of the natural numbers by means of cycle-numbers, with consequences in number theory
p. 235-254
Bridges between different known integer sequences
p. 255-263
When do the Fibonacci invertible classes modulo M form a subgroup?
p. 265-270
Problem proposals
p. 271-274