Geodesic

Sommaire du Fascicule no. 1

Defining sums of products of power sums
Multiplicative functions generalized binomial coefficients, and generalized Catalan numbers
Carlitz-type and other Bernoulli identities
Chocolate numbers
Sequences of spiral knot determinants
Interesting series associated with central binomial coefficients, Catalan numbers and harmonic numbers
Morphisms, symbolic sequences, and their standard forms
On the enumeration of restricted words over a finite alphabet

Sommaire du Fascicule no. 2

Minimal polynomials of algebraic cosine values at rational multiples of $\pi $
Partial profiles of quasi-complete graphs
Sums of products of generalized Ramanujan sums
Annular non-crossing matchings
Parapermanents of triangular matrices and some general theorems on number sequences
Reciprocal sums of the tribonacci numbers
On equivalence classes of generalized Fibonacci sequences
Generalized multiple counting Jacobsthal sequences of Fermat pseudoprimes

Sommaire du Fascicule no. 3

Geometric representations of the $n$-anacci constants and generalizations thereof
On the product representation of number sequences, with applications to the family of generalized Fibonacci numbers
A sum of Gcd's over Friable numbers
New integer sequences arising from 3-period folding numbers
Some binomial sums involving absolute values
Two properties of Catalan-Larcombe-French numbers
Jacobsthal decompositions of pascals triangle, ternary trees, and alternating sign matrices
Counting non-standard binary representations

Sommaire du Fascicule no. 4

An extended version of Faulhaber's formula
Rational points in arithmetic progression on the unit circle
A note on a theorem of Guo, Mező, and Qi
A $q$-analogue of the bi-periodic Fibonacci sequence
Counting hidden neural networks
Tribonacci numbers and the Brocard-Ramanujan equation
More upper bounds on taxicab and cabtaxi numbers
Additive functions on the greedy and lazy Fibonacci expansions

Sommaire du Fascicule no. 5

A proof of Dixon's identity
Arithmetic properties of partition $k$-tuples with odd parts distinct
On binomial identities in arbitrary bases
Some congruences for central binomial sums involving Fibonacci and Lucas numbers
Infinite products arising in paperfolding
A $(p, q)$-analogue of the $r$-Whitney-Lah numbers
Computing the inverses, their power sums, and extrema for Euler's totient and other multiplicative functions
Coprime and prime labelings of graphs

Sommaire du Fascicule no. 6

A variant of the Euclid-Mullin sequence containing every prime
A proof of a famous identity concerning the convolution of the central binomial coefficients
An improved lower bound on the number of ternary squarefree words
On geometric progressions on hyperelliptic curves
Some sufficient conditions for the log-balancedness of combinatorial sequences
Integer sequences connected to the Laplace continued fraction and Ramanujan's identity
Returns and hills on generalized Dyck paths
Note on total positivity for a class of recursive matrices

Sommaire du Fascicule no. 7

Determinants containing powers of generalized Fibonacci numbers
The Gaussian coefficient revisited
Hyperfibonacci sequences and polytopic numbers
Ternary modified Collatz sequences and Jacobsthal numbers
On the binomial identities of Frisch and Klamkin
Binomial coefficients and enumeration of restricted words
Returns, hills, and $t$-ary trees
Arithmetic progressions on $y^2 = x^3 + k$

Sommaire du Fascicule no. 8

Cyclic compositions of a positive integer with parts avoiding an arithmetic sequence
On a Ramanujan-type congruence for bipartitions with 5-cores
Positive solutions to some systems of Diophantine equations
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers
On arithmetic partial differential equations
A note on a theorem of Schumacher
Links between sums over paths in Bernoulli's triangles and the Fibonacci numbers
Converse Lagrange theorem orders and supersolvable orders