Geodesic

Sommaire du Fascicule no. 1

Alternating sums of the reciprocal Fibonacci numbers
Summations in Bernoulli's triangles via generating functions
Stern sequences for a family of multidimensional continued fractions: TRIP-Stern sequences
Touchard's Drunkard
Fibonacci and Lucas sedenions
On the total positivity of Delannoy-like triangles
The Catalan threshold arrangement
Continued fractions with non-integer numerators

Sommaire du Fascicule no. 2

Largest values of the stern sequence, alternating binary expansions and continuants
Arithmetic progressions on conics
On the exponents of non-trivial divisors of odd numbers and a generalization of Proth's primality theorem
The dual of Spivey's Bell number identity from zeon algebra
Some theorems and applications of the $(q,r)$-Whitney numbers
On the maximum number of non-intersecting diagonals in an array
On counting the number of tilings of a rectangle with squares of size 1 and 2
Alternating sums concerning multiplicative arithmetic functions

Sommaire du Fascicule no. 3

A combinatorial identity concerning plane colored trees and its applications
Jacobi-type continued fractions for the ordinary generating functions of generalized factorial functions
Jacobsthal and Jacobsthal-Lucas numbers and sums introduced by Jacobsthal and Tverberg
A Tribonacci-like sequence of composite numbers
Sums of digits and the distribution of generalized Thue-Morse sequences
Two approaches to normal order coefficients
A note on some recent results for the Bernoulli numbers of the second kind
Convex domino towers

Sommaire du Fascicule no. 4

Some formulae for products of geometric polynomials with applications
Computations for symbolic substitutions
On functions expressible as words on a pair of Beatty sequences
Constructing pseudo-involutions in the Riordan group
An explicit formula for sums of powers of integers in terms of Stirling numbers
On the Pfaffians and determinants of some skew-centrosymmetric matrices
Congruences modulo small powers of 2 and 3 for partitions into odd designated summands
The constant of recognizability is computable for primitive morphisms

Sommaire du Fascicule no. 5

The tilings of a ($2 \times $ n)-board and some new combinatorial identities
Enumerative properties of posets corresponding to a certain class of games of no strategy
On sums of powers of the $p$-adic valuation of $n$!
Counting colorful tilings of rectangular arrays
Infinite linear recurrence relations and superposition of linear recurrence equations
A restricted growth word approach to partitions with odd/even size blocks
Generalized continued logarithms and related continued fractions
On some conjectures about arithmetic partial differential equations

Sommaire du Fascicule no. 6

Extending a recent result on hyper $m$-ary partition sequences
A proof of symmetry of the power sum polynomials using a novel Bernoulli number identity
On the equation $\sigma (n) = n + \phi (n)$
Supercongruences involving multiple harmonic sums and Bernoulli numbers
Some formulas for numbers of restricted words
Width-$k$ generalizations of classical permutation statistics
Explicit bounds for the sum of reciprocals of pseudoprimes and Carmichael numbers
Non-attacking Bishop and King positions on regular and cylindrical chessboards

Sommaire du Fascicule no. 7

On the largest integer that is not a sum of distinct positive $n$th powers
A slow relative of Hofstadter's $Q$-sequence
The $r$th moment of the divisor function: an elementary approach
Long and short sums of a twisted divisor function
On the binomial interpolated triangles
On a special case of the Frobenius problem
Number of dissections of the regular $n$-gon by diagonals
Enumerations of permutations simultaneously avoiding a vincular and a covincular pattern of length 3

Sommaire du Fascicule no. 8

Bases in dihedral and Boolean groups