Geodesic

Sommaire du Fascicule no. 1

Fourier expansions and integral representations for Genocchi polynomials
Characterizing Frobenius semigroups by filtration
On the expansion of Fibonacci and Lucas polynomials
Some postage stamp 2-bases
Enumeration of partitions by long rises, levels, and descents
Introduction to the "prisoners and guards" game
The pfaffian transform
Polygonal chain sequences in the space of compact sets

Sommaire du Fascicule no. 2

Tiling a ($2 \times n$)-board with squares and dominoes
Generating matrices for weighted sums of second order linear recurrences
Growing Apollonian packings
Functorial orbit counting
Binary relations on the power set of an $n$-element set
On the subsequence of primes having prime subscripts
A gcd-sum function over regular integers modulo $n$
On a sequence of nonsolvable quintic polynomials

Sommaire du Fascicule no. 3

A bijection between 3-Motzkin paths and Schröder paths with no peak at odd
The shape of the value sets of linear recurrence sequences
Combinatorial interpretation of generalized Stirling numbers
Several generating functions for second-order recurrence sequences
The $p$-adic valuations of sequences counting alternating sign matrices
On positive integers $n$ with a certain divisibility property
A new identity for complete Bell polynomials based on a formula of ramanujan
Polynomials associated with reciprocation

Sommaire du Fascicule no. 4

A note on the lonely runner conjecture
Towards a human proof of Gessel's conjecture
Matrix compositions
A note on the relation between fixed point and orbit count sequences
Realizability of integer sequences as differences of fixed point count sequences
The combinatorics of certain $k$-ary meta-Fibonacci sequences
Verifying two conjectures on generalized elite primes
Some congruences for the partial Bell polynomials

Sommaire du Fascicule no. 5

Generating functions for the digital sum and other digit counting sequences
On the bi-unitary analogues of Euler's arithmetical function and the gcd-sum function
A search for high rank congruent number elliptic curves
Equidistribution of descents, adjacent pairs, and place-value pairs on permutations
Generalized near-Bell numbers
The number of crossings in a regular drawing of the complete bipartite graph
Notes on a family of Riordan arrays and associated integer Hankel transforms
A note on a one-parameter family of Catalan-like numbers

Sommaire du Fascicule no. 6

Unisequences and nearest integer continued fraction midpoint criteria for Pell's equation
A note on perfect totient numbers
On determining paint by numbers puzzles with nonunique solutions
On the Euler function of Fibonacci numbers
On recurrences of Fahr and Ringel arising in graph theory
Compression theorems for periodic tilings and consequences
Families of rational numbers with predictable Engel product expansions
Harmonic number identities via Euler's transform

Sommaire du Fascicule no. 7

Recursive generation of $k$-ary trees
Hadamard products and tilings
Generalized Catalan numbers: linear recursion and divisibility
Bell and Stirling numbers for graphs
Continued fractions and transformations of integer sequences
Falling factorials, generating functions, and conjoint ranking tables

Sommaire du Fascicule no. 8

Some classes of numbers and derivatives
On the equation $a^x \equiv x\pmod{b^n}$
Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays
Two formulas for successive derivatives and their applications
Some trigonometric identities involving Fibonacci and Lucas numbers
Ramanujan type trigonometric formulas: the general form for the argument $\frac{2\pi}{7}$
Integer solutions of some Diophantine equations via Fibonacci and Lucas numbers
A curious bijection on natural numbers