Geodesic

Sommaire du Fascicule no. 1

Partial sums of powers of prime factors
Generalized Catalan numbers and generalized Hankel transformations
Sequences of generalized happy numbers with small bases
A slow-growing sequence defined by an unusual recurrence
Bounds for the eventual positivity of difference functions of partitions into prime powers
Deformations of the Taylor formula
Complementary equations
Affinely self-generating sets and morphisms

Sommaire du Fascicule no. 2

On sums involving binomial coefficients
Tiling with L's and squares
The Connell sum sequence
Sums of squares and products of Jacobsthal numbers
The equation $(j+k+1)^2-4k = Qn^2$ and related dispersions
Unimodality of certain sequences connected with binomial coefficients
Counting Keith numbers
On the average growth of random Fibonacci sequences

Sommaire du Fascicule no. 3

Efficient lower bounds on the number of repetition-free words
Direct and elementary approach to enumerate topologies on a finite set
Mahler's expansion and Boolean functions
Using Bonse's inequality to find upper bounds on prime gaps
Polynomial points
On a family of generalized Pascal triangles defined by exponential Riordan arrays
A note on the average order of the gcd-sum function
Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry

Sommaire du Fascicule no. 4

Special multi-poly-Bernoulli numbers
On integer sequences associated with the cyclic and complete graphs
A simple symmetry generating operads related to rooted planar $m$-ary trees and polygonal numbers
Some observations on the Lah and Laguerre transforms of integer sequences
The average order of the Dirichlet series of the gcd-sum function
Rational tree morphisms and transducer integer sequences: definition and examples
On multiple sums of products of Lucas numbers
Variations on a theme of Sierpiński

Sommaire du Fascicule no. 5

On generating functions involving the square root of a quadratic polynomial
Enumeration of factorizable multi-dimensional permutations
Interspersions and fractal sequences associated with fractions $c^j/d^k$
Automatic enumeration of regular objects
Some generalized Fibonacci polynomials
New Ramanujan-type formulas and quasi-Fibonacci numbers of order 7
Algorithms for Bernoulli and related polynomials
Some remarks on the equation $F[n]=kF[m]$ in Fibonacci numbers

Sommaire du Fascicule no. 6

On Hultman numbers
Enumerating permutations avoiding more than three Babson-Steingrímsson patterns
Integer partitions and convexity
Parametric production matrices and weighted succession rules: a Dyck path example
A parametrization of equilateral triangles having integer coordinates
The minimal density of a letter in an infinite ternary square-free word is 883/3215
Wild partitions and number theory
Polynomials generated by the Fibonacci sequence

Sommaire du Fascicule no. 7

Semiorders and Riordan numbers
Transformations preserving the Hankel transform
On the number of labeled $k$-arch graphs
On the behavior of a variant of Hofstadter's $Q$-sequence
Asymptotics for Lacunary sums of binomial coefficients and a card problem with ranks
Motzkin numbers of higher rank: generating function and explicit expression
Generalized Schröder numbers and the rotation principle
The Lagrange inversion formula and divisibility properties

Sommaire du Fascicule no. 8

Minimal $r$-complete partitions
On Sequences $G_n$ satisfying $G_n=(d+2)G_{n-1} - G_{n-2}$
Cipolla pseudoprimes
Certain sums involving inverses of binomial coefficients and some integrals
Generalizations of Carlitz compositions
Quasi-Fibonacci numbers of order 11
The compositions of differential operations and the Gâteaux directional derivative
Exponential generating functions for trees with weighted edges and labeled nodes

Sommaire du Fascicule no. 9

Enumeration of integral tetrahedra
On a one-parameter family of Riordan arrays and the weight distribution of MDS codes
Playing with some identities of Andrews
Permutations defining convex permutominoes
Mean values of generalized gcd-sum and lcm-sum functions
On anti-elite prime numbers
Abundancy "outlaws" of the form $\frac{(\sigma(N)+t)}{N}$
From $(2,3)$-Motzkin paths to Schröder paths

Sommaire du Fascicule no. 10

On some properties of two simultaneous polygonal sequences
The half-perimeter generating function of gated and wicketed Ferrers diagrams
On Fibonacci-like sequences
Congruences for a class of alternating lacunary sums of binomial coefficients
Inversion of generating functions using determinants