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Ternary modified Collatz sequences and Jacobsthal numbers
J. Integer Seq., 2016Summary: We show how to apply the Collatz function and the modified Collatz function to the ternary representation of a positive integer, and we present the ternary modified Collatz sequence starting with a multiple of \(3^N\) for an arbitrary large integer \(N\).
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On {ar h}-Jacobsthal and {ar h} -Jacobsthal–Lucas sequences, and related quaternions.
2019In this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (see [26] and [2]), we will introduce the h ̄-Jacobsthal quaternions and the h ̄-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].
Giuseppina Anatriello, Giovanni Vincenzi
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The Jacobsthal Sequences in The Groups Q2n, Q2nXqZ2m and Q2nXZ2m
2015In [8], Deveci et.al defined the generalized order-k Jacobsthal orbit kG of a finitely generated group GA J A, where ka ,ka A1,,a a2,, to be the sequence of the elements of G such that ...
DEVECİ, Omur, SAGLAM, Gencay
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Lebesgue Structure of Asymmetric Bernoulli Convolution Based on Jacobsthal–Lucas Sequence
Random Operators and Stochastic Equations, 2020Mykola Pratsiovytyi +2 more
exaly
Derivative Sequences of Generalized Jacobsthal and Jacobsthal-Lucas Polynomials
The Fibonacci Quarterly, 2000openaire +1 more source
WITHDRAWN: Some properties of the Jacobsthal and Jacobsthal–Lucas sequences using matrix method
Mathematical and Computer Modelling, 2011Fatih Yılmaz, Durmuş Bozkurt
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A Study on Generalized Jacobsthal-Padovan Numbers
Earthline Journal of Mathematical Sciences, 2020Yuksel Soykan
exaly
Crosscorrelation of m-Sequences, Exponential Sums, Bent Functions and Jacobsthal Sums
Cryptography and Communications, 2011Tor Helleseth, Alexander Kholosha
exaly
Some Sum Formulas of ( s , t )-Jacobsthal and ( s , t )-Jacobsthal Lucas Matrix Sequences
Applied Mathematics, 2016exaly