Results 71 to 80 of about 114 (94)
Melham's conjecture on odd power sums of fibonacci numbers
, 2016 Ozeki and Prodinger showed that the odd power sum of the first several consecutive Fibonacci numbers of even order is equal to a polynomial evaluated at a certain Fibonacci number of odd order. We prove that this polynomial and its derivative both vanish
Xie, Matthew H.Y. +2 more
core
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
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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
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HIGHER ORDER RECURRENCES FOR ANALYTICAL FUNCTIONS OF TCHEBYSHEFF TYPE
, 1999 . Relation of hyperbolons of volume one to generalized Clifford algebras is described in [1b] and there some applications are listed. In this note which is an extension of [8] we use the one parameter subgroups of the group of hyperbolons of volume one ...
A. K. Kwa´sniewski
core
On The Order Of Convergence Of A Determinantal Family Of Root-Finding Methods
, 1997 For each natural number m greater than one, and each natural number k less than or equal to m, there exists a root-finding iteration function, defined as the ratio of two determinants that depend on the first m \Gamma k derivatives of the given function,
Bahman Kalantari
core
A Fibonacci-like sequence of composite numbers
, 1999 In 1964, Ronald Graham proved that there exist relatively prime natural numbers a and b such that the sequence fA n g defined by A n = A n\Gamma1 +A n\Gamma2 (n 2; A 0 = a; A 1 = b) contains no prime numbers, and constructed a 34-digit pair ...
John W. Nicol
core
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On the Diophantine equation $F_n^x+F_{n+1}^x=F_m^y$
Rocky Mountain Journal of Mathematics, 2015Noriko Hirata-Kohno, Florian Luca
exaly
On the Generalized Order-$k$ Fibonacci and Lucas Numbers
Rocky Mountain Journal of Mathematics, 2006Emrah Kilic
exaly
An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers
Proceedings of the Japan Academy Series A: Mathematical Sciences, 2011Florian Luca
exaly