This book presents the state-of-the-art results concerning recurrent sequences and their
practical applications in algebra, number theory, geometry of the complex plane, discrete …

Horadam Sequences: A Survey Page 1 Horadam Sequences: A Survey Peter J. Larcombe,
Ovidiu D. Bagdasar and Eric J. Fennessey † School of Computing and Mathematics …

We give an update on work relating to Horadam sequences that are generated by a general
linear recurrence formula of order two. This article extends a first ever survey published in …

The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex
plane, depending on a family of four complex parameters: two recurrence coefficients and …

The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex
plane, which depends on a family of four complex parameters: two recurrence coefficients …

Horadam sequences are second-order linear recurrences in the complex plane which
depend on two initial conditions and two recurrence coefficients which are complex …

We explore the dynamics of the sequence of Kasner quadrilaterals (A n B n C n D n) n≥ 0
defined via a complex parameter α. We extend the results concerning Kasner triangles with …

A so called Horadam sequence is one delivered by a general second order recurrence
formula with arbitrary initial conditions. We examine aspects of self-repeating Horadam …

Numerous geometric patterns identified in nature, art or science can be generated from
recurrent sequences, such as for example certain fractals or Fermat's spiral. Fibonacci …

The Horadam sequence is a general second order linear recurrence sequence, dependent
on a family of four (possibly complex) parameters—two recurrence coefficients and two …