منابع مشابه
Tribonacci multiplication
In this paper, we prove that the circle multiplication associated with the shifted ‘I% bonacci sequence: (2’2)) is associative for all s 2 5. @ 2002 Elsevier Science Ltd. All rights reserved.
متن کاملThe Tribonacci Substitution
We study the discretised segments generated by the iterated Tribonacci substitution and the projections of the integer points on them to some plane. After suitable transformations we get a sequence of finite two-dimensional words which tends to a doubly rotational word on Z. (Without scaling we would get the Rauzy fractal.) As an introduction we start with the corresponding case of the Fibonacc...
متن کاملOn Tribonacci Sequences
The aim of this note is to give a simple construction of the Tribonacci sequences, namely they consist of the occurrences of letters in an infinite word obtained as the fixed point of the morphism θ defined by θ : a → ab; b → ac; c → a. The construction is combinatorial and admits a generalization to k-bonacci sequences.
متن کاملTribonacci Diophantine Quadruples
In this paper, we show that there does not exist a quadruple of positive integers a1 < a2 < a3 < a4 such that aiaj + 1 (i 6= j) are all members of the Tribonacci sequence (Tn)n≥0.
متن کاملIdentities for Tribonacci-related sequences
We establish some identities relating two sequences that are, as explained, related to the Tribonacci sequence. One of these sequences bears the same resemblance to the Tribonacci sequence as the Lucas sequence does to the Fibonacci sequence. Defining a matrix that we call Tribomatrix, which extends the Fibonacci matrix, we see that the other sequence is related to the sum of the determinants o...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2008
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2008.140617