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Fibonacci's multiplicative sequence
International Journal of Mathematical Education in Science and Technology, 2003ESCI
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The Mathematics Teacher, 1970
The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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q-Fibonacci sequence spaces and related matrix transformations
Journal of Applied Mathematics and Computation, 2022K. Atabey, Muhammed Çınar, M. Et
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k-Fibonacci sequences modulo m
Chaos, Solitons & Fractals, 2009We study here the period-length of the k-Fibonacci sequences taken modulo m. The period of such cyclic sequences is know as Pisano period, and the period-length is denoted by πk (m). It is proved that for every odd number k, πk (k2 + 4) = 4 (k2 + 4).
Falcon, Sergio, Plaza, Ángel
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Acceleration of extended fibonacci sequences
Applied Numerical Mathematics, 1986The authors discuss convergence acceleration of the sequence defined by \(C_ 0=1\), \(C_{n+1}=1+a/C_ n\), \(n=0,1,..\). where a is a nonzero complex number. Some results applying Aitken's \(\Delta^ 2\) process and Shank's transformation to this sequence are given. The rate of convergence is studied showing the superiority of Aitken's process.
Brezinski, C., Lembarki, A.
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Generalized Fibonacci Sequences
The Mathematics Teacher, 2000Everyone loves the Fibonacci sequence. It is easy to describe, yet it gives rise to a vast amount of substantial mathematics. Physical applications and connections with various branches of mathematics abound. What could be better, unless someone told us that the Fibonacci sequence is but one member of an infinite family of sequences that we could be ...
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The Fibonacci sequence, generalized Fibonacci sequences, and related topics
1995Abstract One of the most engaging puzzles in the history of mathematics was formulated by Leonardo of Pisa, nicknamed Fibonacci (1170-1250) in his celebrated book Liber abaci: How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the ...
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The k –Fibonacci difference sequences
Chaos, Solitons & Fractals, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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