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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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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 Fibonacci quasicrystal: Case study of hidden dimensions and multifractality
Reviews of Modern Physics, 2021Anuradha Jagannathan
exaly
A Generalized Fibonacci Sequence
The Fibonacci Quarterly, 1972Fisher, P. S., Kohlbecker, E. E.
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