Results 21 to 30 of about 717 (218)
Some generalized results related to Fibonacci sequence
, 2021 Cassini's identity states that for the nth Fibonacci number Fn+1Fn-1-Fn2=(-1)n, We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence.
Saikia, Helen K., Paul, Neeraj Kumar
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ON TWO SUBSETS OF GENERALIZED SMARANDACHE PALINDROMES [PDF]
, 1997 Two subsets of generalized Smarandache palindromes are constructed to determine some of their properties.
Earls, Jason
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Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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Generalized Fibonacci-like sequence and Fibonacci sequence
International Journal of Contemporary Mathematical Sciences, 2014 Every term in the Fibonacci Sequence can be determined recursively with the help of initial values F0 = 0, F1 = 1. Similar is the case with Lucas Sequence. In this paper, we study Generalized Fibonacci-Like sequence {Dn} defined by the recurrence relation Dn = Dn-1 + Dn-2, for all n 2 with D0 = 2 and D1 = 1+m, m being a fixed positive integer.
Sanjay Harne +2 more
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Accelerations of Generalized Fibonacci Sequences
The Fibonacci Quarterly, 2011 In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
ABRATE, MARCO +3 more
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On an analytical study of the generalized Fibonacci polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this work, we presented an analytical study of the generalized Fibonacci polynomial of order r≥2, by using properties of the fundamental system associated with the generalized Fibonacci polynomial.
Leandro Rocha +2 more
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On Generalized Fibonacci Numbers
Communications in Advanced Mathematical Sciences, 2020 Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial conditions. In this paper, we
Isaac Owino Okoth, Fidel Oduol
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On Generalized Jacobsthal and Jacobsthal–Lucas Numbers
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
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On (k,p)-Fibonacci numbers and matrices [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with ...
Sinan Karakaya +2 more
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Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [PDF]
Turkish Journal of Analysis and Number Theory, 2016 The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula Fn=Fn-1+Fn-2, , and F0=0, F1=1, where Fn is a nth number of sequence.
Yogesh Kumar Gupta +2 more
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