Add to ORKG23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence. We give explanations and extensions of this trick to more general sequences. This study leads us to interesting connections between Fibonacci, Lucas sequences and Chebyshev polynomials
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
These notes put on record part of the contents of a conversation the first author had with John Conw...
23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can...
This study is an exposition based on the article, Chebyshev Polynomials and Fibonacci Numbers: The L...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
We study higher-dimensional interlacing Fibonacci sequen\-ces, generated via both Chebyshev type fun...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Ch...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
Abstract The main purpose of this paper is by using the definitions and properties of Chebyshev poly...
The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 144 233 277, ...) is perhaps the most f...
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fi...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
These notes put on record part of the contents of a conversation the first author had with John Conw...
23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can...
This study is an exposition based on the article, Chebyshev Polynomials and Fibonacci Numbers: The L...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
We study higher-dimensional interlacing Fibonacci sequen\-ces, generated via both Chebyshev type fun...
The Fibonacci sequence can be used as a starting point for an interesting project or research experi...
Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Ch...
We present some general formulas related to sum of powers, also with alternating sign, involving Luc...
Abstract The main purpose of this paper is by using the definitions and properties of Chebyshev poly...
The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 144 233 277, ...) is perhaps the most f...
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fi...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
These notes put on record part of the contents of a conversation the first author had with John Conw...