Geodesic

Sommaire du Fascicule no. 1

Arithmetic progressions on Edwards curves
Dixon's formula and identities involving harmonic numbers
On the complexity of testing elite primes
Unique difference bases of \(\mathbb Z\)
Permutations avoiding runs of \(i\), \(i+1\), \(i+2\) or \(i\), \(i-1\), \(i-2\)
The \(r\)-Bell numbers
Series of error terms for rational approximations of irrational numbers
Convex and V-shaped sequences of sums of functions that depend on ceiling functions

Sommaire du Fascicule no. 2

Binomial coefficient predictors
A function related to the rumor sequence conjecture
Brownian motion and the generalized Catalan numbers
On multiperiodic infinite recursions and their finite core
Combinatorial remarks on the cyclic sum formula for multiple zeta values
Formulas for odd zeta values and powers of \(\pi \)
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
Bounds for the Kolakoski sequence

Sommaire du Fascicule no. 3

A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations
Square involutions
Enumeration of the partitions of an integer into parts of a specified number of different sizes and especially two sizes
On the permutations generated by cyclic shift
Some properties of the multiple binomial transform and the Hankel transform of shifted sequences
Touchard polynomials, partial Bell polynomials and polynomials of binomial type
Powerful values of quadratic polynomials
On \(s\)-fibonomials

Sommaire du Fascicule no. 4

An asymptotic expansion for the Bernoulli numbers of the second kind
On a generalization of the Narayana triangle
On the central coefficients of Bell matrices
Generating functions for Wilf equivalence under generalized factor order
Greatest common divisors in shifted Fibonacci sequences
On guessing whether a sequence has a certain property
Recurrence relations and two-dimensional set partitions
Investigating geometric and exponential polynomials with Euler-Seidel matrices

Sommaire du Fascicule no. 5

Hankel transforms of linear combinations of Catalan numbers
A formula for the generating functions of powers of Horadam's sequence with two additional parameters
A restricted random walk defined via a Fibonacci process
Appending digits to generate an infinite sequence of composite numbers
Full subsets of \(\mathbb N\)
Quasi-amicable numbers are rare
Integer sequences, functions of slow increase, and the Bell numbers
On the solutions of \(\sigma (n) = \sigma (n+k)\)

Sommaire du Fascicule no. 6

Ramanujan primes: bounds, runs, twins, and gaps
Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays
On the base-\(b\) expansion of the number of trailing zeros of \(b^k\)!
Mean values of a class of arithmetical functions
Beta expansions for regular Pisot numbers
On the summation of certain iterated series
Sums involving moments of reciprocals of binomial coefficients
Note on a problem of Motzkin regarding density of integral sets with missing differences

Sommaire du Fascicule no. 7

Combinatorial results for semigroups of orientation-preserving partial transformations.
The 4-Nicol numbers having five different prime divisors
Weighted gcd-sum functions
Successive derivatives and integer sequences
An inequality for Macaulay functions
Moments of reciprocals of binomial coefficients
Sums of products of \(s\)-Fibonacci polynomial sequences
Remodified Bessel functions via coincidences and near coincidences

Sommaire du Fascicule no. 8

Reciprocals of the gcd-sum functions
Generalized Stirling numbers, exponential Riordan arrays, and orthogonal polynomials
On error sum functions formed by convergents of real numbers
Fixed sequences for a generalization of the binomial interpolated operator and for some other operators
On the distribution of perfect powers
The \(p\)-adic valuation of the ASM numbers
The inverse football pool problem
Another proof of Nathanson's theorems

Sommaire du Fascicule no. 9

Inequalities and identities involving sums of integer functions
On Fibonacci and Lucas numbers of the form \(cx^2\)
Eulerian polynomials as moments, via exponential Riordan arrays
Lagrange inversion counts \(3\overline5241\)-avoiding permutations
Two \(q\)-analogues of poly-Stirling numbers
A Wieferich prime search up to \(6.7 \times 10^{15}\)