On the 2k-step Jordan-Fibonacci sequence
نویسندگان
چکیده
منابع مشابه
On the origin of the Fibonacci Sequence
Herein we investigate the historical origins of the Fibonacci numbers. After emphasising the importance of these numbers, we examine a standard conjecture concerning their origin only to demonstrate that it is not supported by historical chronology. Based on more recent findings, we propose instead an alternative conjecture through a close examination of the historical and historical/mathematic...
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We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a 7→ baa and b 7→ ab, with probability p, and b 7→ ba, with probability 1 − p for 0 < p < 1, and where the random rule is applied each time it acts on a b. We show that the topological entropy of this object is given by the growth rate of the set of inflated ...
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In the last few years I had some occasions to guide activities in a mathematics-with-computer club for 15-year-olds, where we investigated the function K(m) . Theorems 1 and 2 of the present article were found (without proofs) by members of these clubs. To be more specific, these are those of the students results, which I was not able to find in the literature either before or after they have e...
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Let 77l5..., 77w,... be a sequence of Independent integer-valued random variables. Let SnT]l + -~ + 7jn,Ari = ESn, B* = varS„,P„(m) = P(Sn = m), and f(t,rfj) denote the characteristic function of the random variable 77 •. The local limit theorem (LLT) is formulated as Pn(m) = (27rBy -exp{-(m^f /2B} + o(B~) when n-^00 uniformly for m. The first results on the normal approximation of binomial dis...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2017
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1178-2