Results 61 to 70 of about 133 (111)

Equations with Solution in Terms of Fibonacci and Lucas Sequences

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The main results characterize the equations (2.1) and (2.10) whose solutions are linear combinations with rational coefficients of at most two terms of classical Fibonacci and Lucas sequences.
Andreescu Titu, Andrica Dorin
doaj   +1 more source

Generalized Horadam Polynomials and Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S., Djordjevic Gospava B.   +1 more
doaj   +1 more source

Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2021
Chalebgwa TP, Ddamulira M.
europepmc   +1 more source

Integers representable as differences of linear recurrence sequences. [PDF]

Res Number Theory, 2021
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc   +1 more source

On Doubled and Quadrupled Fibonacci Type Sequences

Annales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma, Włoch Andrzej, Özkan Engin, Strzałka Dominik   +3 more
doaj   +1 more source

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Open Mathematics, 2017
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
doaj   +1 more source

On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]

Bol Soc Mat Mex, 2021
Ddamulira M.
europepmc   +1 more source

On The Jacobsthal-Padovan p-Sequences in Groups

Topological Algebra and its Applications, 2017
In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
doaj   +1 more source

On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj   +1 more source

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]

Ramanujan J, 2021
Ddamulira M, Luca F.
europepmc   +1 more source