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[PDF] Top 20 Generalized Fibonacci sequences in groupoids

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Generalized Fibonacci sequences in groupoids

Generalized Fibonacci sequences in groupoids

... usual Fibonacci-sequences [, ] and other sequences of this type, one is natu- rally interested in considering what may happen in more general ...of Fibonacci sequences in arbitrary ... See full document

10

Some properties of the generalized Fibonacci and Lucas sequences related to the extended Hecke groups

Some properties of the generalized Fibonacci and Lucas sequences related to the extended Hecke groups

... sequences and the relationships between them. To do this, we use some results given in [–]. In fact, in [] and [], Özgür found two sequences, which are the generalization of the Fibonacci ... See full document

13

On Generalized Fibonacci-Like Sequences by Hessen Berg Matrices

On Generalized Fibonacci-Like Sequences by Hessen Berg Matrices

... to generalized Fibonacci-Like sequences associated with Fibonacci and Lucas ...and generalized Fibonacci-Like ...of generalized Fibonacci- Like ... See full document

8

Integral points on the elliptic Curve $ E {pq}: y^2=x^3+(pq 12)x 2(pq 8)$

Integral points on the elliptic Curve $ E {pq}: y^2=x^3+(pq 12)x 2(pq 8)$

... In this paper, using elementary number theory methods and some properties of generalized Fibonacci and Lucas sequences, we obtain the the following results.. denote Legendre symbol..[r] ... See full document

10

Non-Abelian Sequenceable Groups Involving ?-Covers

Non-Abelian Sequenceable Groups Involving ?-Covers

... 2-step generalized sequences for the dihedral groups studied for their periodicity in 2006 by ...ordinary Fibonacci sequences (sequences without the powers) of elements of ...3-step ... See full document

6

Extending generalized Fibonacci sequences and their binet type formula

Extending generalized Fibonacci sequences and their binet type formula

... -generalized Fibonacci sequence ( ∞ -GFS) has been introduced in [7] and studied in [1, 8, ...of sequences defined by linear recurrences of infinite order is an extension of the class of ordinary ... See full document

11

Some Groupoids and their Representations by Means of Integer Sequences

Some Groupoids and their Representations by Means of Integer Sequences

... And we can continue: , OEIS A024049, ; , OEIS A024062, ; OEIS A024075, , and so on. An interesting sequence is , A002283, . Dividing this sequence by 9, we have the repunits A002275, ( ) ⁄ . The generalized sum of ... See full document

5

Search | Preprints

Search | Preprints

... recurrence sequences, ...the generalized Fibonacci sequence, and then we have presented the formulas as special cases the corresponding identity for the Fibonacci, Lucas, Pell, Pell-Lucas, ... See full document

14

A new generalization of convolved (p,q)−Fibonacci and (p,q)−Lucas polynomials

A new generalization of convolved (p,q)−Fibonacci and (p,q)−Lucas polynomials

... convolved generalized Lucas poly- nomials and gave some determinantal and permanental representations of these ...convolved generalized Fibonacci and Lucas polynomials and gave some properties of ... See full document

11

Fibonacci sequences in groupoids

Fibonacci sequences in groupoids

... of Fibonacci sequences in arbitrary groupoids ...Such sequences can be defined in a left-hand way and a right-hand ...The Fibonacci sequences for several groupoids and for ... See full document

7

Integral points on the elliptic curve y2=x3+27x−62

Integral points on the elliptic curve y2=x3+27x−62

... MSC: 11B25; 11B37 Keywords: elliptic curves; integral point; generalized Fibonacci and Lucas sequences.. The generalized Fibonacci sequence Un P, Q and the Lucas sequence Vn P, Q are defi[r] ... See full document

6

On the reciprocal sums of the generalized Fibonacci sequences

On the reciprocal sums of the generalized Fibonacci sequences

... is actually a family of sequences where each new choice of a and b produces a distinct sequence. When a = b = , we have the classical Fibonacci sequence and when a = b = , we obtain the Pell numbers. Even ... See full document

6

Binomial Transforms of Generalized Fibonacci-Like Sequences

Binomial Transforms of Generalized Fibonacci-Like Sequences

... to generalized Fibonacci-Like sequences associated with Fibonacci and Lucas ...of generalized Fibonacci-Like sequences and their binomial ... See full document

6

Observations on the Hyperbola, y2 = 14x2 + 16t, t >=0

Observations on the Hyperbola, y2 = 14x2 + 16t, t >=0

... Also, we present infinitely many positive integer solutions in terms of Generalized Fibonacci sequences of numbers, Generalized Lucas sequences of numbers.. Keywords: Binary Quadratic In[r] ... See full document

8

Observations on Derived K-Fibonacci and Derived K- Lucas Sequences

Observations on Derived K-Fibonacci and Derived K- Lucas Sequences

... k- Fibonacci and derived k- Lucas sequences through Binet’s ...k- Fibonacci and derived k- Lucas ...k- Fibonacci and derived k- Lucas ... See full document

8

Search | Preprints

Search | Preprints

... Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers, Asian Journal of Advanced. Research and Reports, 9(1), 23-39, 2020.[r] ... See full document

16

Glanon groupoids

Glanon groupoids

... symplectic groupoids constitute a partic- ular class of a more general type of structures called Poisson groupoids, which were discovered by Weinstein [35] and also comprise Drinfeld’s Poisson groups ...Lie ... See full document

30

On the norms of an r circulant matrix with the generalized k Horadam numbers

On the norms of an r circulant matrix with the generalized k Horadam numbers

... other upper and lower bounds for the spectral norms of r-circulant matrices associated with the k-Fibonacci and k-Lucas numbers, respectively. It is clear that the same study about similar subject can also be done ... See full document

8

Asymmetric key encryption based on pseudorandom number generators Alhussain Amanie Hasn

Asymmetric key encryption based on pseudorandom number generators Alhussain Amanie Hasn

... Lagged Fibonacci and Blum Blum Shum generators, and three new internal sequences which are derived from the previous sequences by applying mathematical and logical ...these sequences plays a ... See full document

6

Generalized statistical convergence of difference sequences

Generalized statistical convergence of difference sequences

... The notion of statistical convergence (see Fast []) has been studied in various setups, and its various generalizations, extensions and variants have been studied by various authors so far. For example, lacunary ... See full document

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