Higher Order Bernoulli Polynomials and Newton Polygons -- The Fibonacci Shuffle Tree -- On The Period of Sequences Modulo a Prime Satisfying a Second Order Recurrence -- Generalizations to Large Hexagons of The Star of David Theorem With Respect to God -- Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order K -- A Note on A Representation Conjecture By Hoggatt -- Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences -- A Criterion for Stability of Two-Term Recurrence Sequences Modulo Odd Primes -- A Problem of Diophantus and Pell Numbers -- On The Exceptional Set in The Problem of Diophantus and Davenport -- Substitutive Numeration Systems and A Combinatorial Problem -- A Note on Derived Linear Recurring Sequences -- Observations from Computer Experiments on an Integer Equation -- Some Probabilistic Aspects of The Zeckendorf Decomposition of Integers -- First Derivative Sequences of Extended Fibonacci and Lucas Polynomials -- Elements of Zeckendorf Arithmetic -- Binomial Coefficients Generalized With Respect to A Discrete Valuation -- The Dying Fibonacci Tree -- Smallest Integral Combinatorial Box -- New Aspects of Morgan-Voyce Polynomials -- Growing A Self-Similar Tree -- Lacunary Sums of Binomial Coefficients -- Some Reciprocal Summation Identities with Applications to The Fibonacci And Lucas Numbers -- A Relative Rank Function on Sets of Continued Fractions Having Bounded Partial Quotients -- On Sums of The Reciprocals of Prime Divisors of Terms of a Linear Recurrence -- A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal -- A Generalisation of Ratios of Fibonacci Numbers with Application to Numerical Quadrature -- The Fibonacci Pyramid -- On A Three Dimensional Approximation Problem -- Analysis of The Euclidean and Related Algorithms -- Fundamental Solutions of u2 - 5v2 = - 4r2 -- Probable Prime Tests Using Lucas Sequences -- On a Functional Equation Associated with The Fibonacci Numbers -- Diophantine Properties of Linear Recursive Sequences I -- The Cantor-Fibonacci Distribution -- On The Parity of Certain Partition Functions -- There Are Infinitely Many Arithmetical Progressions Formed By Three Different Fibonacci Pseudoprimes -- On Mikolas' Summation Formula Involving Farey Fractions -- Second order Linear Recurring Sequences in Hypercomplex Numbers -- The Bell Differential Polynomials -- On Lucas d-Pseudoprimes -- Asymmetric Cell Division: Binomial Identities for Age Analysis of Mortal Vs Immortal Trees -- The Golden Section and Modern Harmony Mathematics -- Lucas Factors and A Fibonomial Generating Function -- Elementary Properties of Canonical Number Systems in Quadratic Fields -- Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences -- A Multivariate Inverse Polya Distribution Of Order K Arising in the Case Of Overlapping Success Runs -- to A Fibonacci Geometry -- Taylor Functionals and The Solution of Linear Difference Equations -- Section - Invariant Numbers and Generalised Golden Section Optimization Algorithms.