Geodesic

Sommaire du Fascicule no. 1

Convolution and Sulanke numbers
On a compositeness test for $(2^p+1)/3$
Sets with even partition functions and 2-adic integers. II.
Functions of slow increase and integer sequences
Running modulus recursions
On a generalization of the Frobenius number
Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4
Some remarks on a paper of L. Tóth

Sommaire du Fascicule no. 2

Permutations and combinations of colored multisets
The terms in Lucas sequences divisible by their indices
A generalization of Stirling numbers of the second kind via a special multiset
On the recognizability of self-generating sets
On the multiplicative order of $a^n$ modulo $n$
Some extremal postage stamp bases
Integrals and polygamma representations for binomial sums
Handshakes across a (round) table

Sommaire du Fascicule no. 3

Some remarks on differentiable sequences and recursivity
Some arithmetic functions involving exponential divisors
A generalization of the question of Sierpiński on geometric progressions
On $q$-analogs of recursions for the number of involutions and prime order elements in symmetric groups
Variations on Euclid's formula for perfect numbers
Some recurrence relations for Cauchy numbers of the first kind
Finite topologies and partitions
$m$-partition boards and poly-Stirling numbers

Sommaire du Fascicule no. 4

Mean values of a gcd-sum function over regular integers modulo $n$
Pell's equation without irrational numbers
Semihappy numbers
Multiple binomial transforms and families of integer sequences
A note on nested sums
Partial Bell polynomials and inverse relations
Asymptotic expansions of certain sums involving powers of binomial coefficients
Sum relations for Lucas sequences

Sommaire du Fascicule no. 5

On the sum of reciprocals of numbers satisfying a recurrence relation of order $s$
Full description of Ramanujan cubic polynomials
Sums of products of Bernoulli numbers, including poly-Bernoulli numbers
Analogues of up-down permutations for colored permutations
Catalan numbers modulo $2^k$
Congruence properties of the function that counts compositions into powers of 2
Integer sequences from queueing theory
Congruences of multiple sums involving sequences invariant under the binomial transform

Sommaire du Fascicule no. 6

On the coefficients of the asymptotic expansion of $n$!
Integral representations and binomial coefficients
Counting peaks and valleys in a partition of a set
Smallest examples of strings of consecutive happy numbers
On the shifted product of binary recurrences
Tilings, compositions, and generalizations
Generalized $j$-factorial functions, polynomials, and applications
Six little squares and how their numbers grow

Sommaire du Fascicule no. 7

A new solution to the equation $\tau (p) \equiv 0$ (mod $p$)
Vacca-type series for values of the generalized Euler constant function and its derivative
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences
The composition of the gcd and certain arithmetic functions
Relatively prime sets and a phi function for subsets of $\{1, 2,\dots, n\}$
Hessenberg matrices and integer sequences
Ramanujan cubic polynomials of the second kind
Transforming recurrent sequences by using the binomial and invert operators

Sommaire du Fascicule no. 8

Some properties of Hyperfibonacci and Hyperlucas numbers
Combinatorial identities involving the Möbius function
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms
A survey of gcd-sum functions
Baron Münchhausen's sequence
An improved upper bound for the sum-free subset constant
Counting the regions in a regular drawing of kn,n
The Euler-seidel matrix, Hankel matrices and moment sequences

Sommaire du Fascicule no. 9

A generalization of the binomial interpolated operator and its action on linear recurrent sequences
Bijections from weighted Dyck paths to Schröder paths
On the Fermat periods of natural numbers
On the extension of the Diophantine pair $\{1,3\}$ in $\Bbb Z[\sqrt d]$
Meixner-type results for Riordan arrays and associated integer sequences
Exponential Riordan arrays and permutation enumeration
A note on lacunary lonely runners. WITHDRAWN