Geodesic

Sommaire du Fascicule no. 1

Generating functions related to partition formulæ for Fibonacci numbers
New upper bounds for taxicab and cabtaxi numbers
Positive integers $n$ such that $\sigma(\varphi(n))=\sigma(n)$
Motzkin numbers, central trinomial coefficients and hybrid polynomials
Some properties of associated Stirling numbers
A partition formula for Fibonacci numbers
Primes in classes of the iterated totient function
Sets, lists and noncrossing partitions

Sommaire du Fascicule no. 2

Unimodal rays in the ordinary and generalized Pascal triangles
A note on Krawtchouk polynomials and Riordan arrays
On the gcd-sum function
A symbolic operator approach to power series transformation-expansion formulas
A combinatorial interpretation for certain relatives of the Conolly sequence
On some properties of bivariate Fibonacci and Lucas polynomials
A generalized recurrence for Bell numbers
A natural prime-generating recurrence

Sommaire du Fascicule no. 3

A natural extension of Catalan numbers
The hyperrings of order 3.
On a generalized recurrence for Bell numbers
Implications of Spivey's Bell number formula
A combinatorial interpretation for an identity of Barrucand
How the shift parameter affects the behavior of a family of meta-Fibonacci sequences
Complementary equations and Wythoff sequences
On generalized elite primes

Sommaire du Fascicule no. 4

Solving triangular peg solitaire
Jumping sequences
Regularity properties of the Stern enumeration of the rationals
Enumeration of unigraphical partitions
The Collatz problem and analogues
A few new facts about the EKG sequence
Inversions of permutations in symmetric, alternating, and dihedral groups
Edge cover time for regular graphs

Sommaire du Fascicule no. 5

On the number of subsets relatively prime to an integer
On the partitions of a number into arithmetic progressions
Riordan arrays, Sheffer sequences and "orthogonal" polynomials
Counting non-isomorphic maximal independent sets of the $n$-cycle graph
On prime-detecting sequences from Apéry's recurrence formulae for $\zeta(3)$ and $\zeta(2)$
A note on the Hankel transform of the central binomial coefficients
Integer sequences avoiding prime pairwise sums
On a class of polynomials with integer coefficients