Results 41 to 50 of about 2,369,502 (88)
On perfect numbers close to Tribonacci numbers [PDF]
Duzce University1st International Conference on Mathematical and Related Sciences, ICMRS 2018 -- 30 April 2018 through 4 May 2018 -- -- 138225In [1], Faco and Marques gave the conditions that even perfect numbers belonging to k-generalized Fibonacci ...
Abdullah Açikel +5 more
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Incomplete Generalized (p; q; r)-Tribonacci Polynomials [PDF]
In this paper, we consider an extension of the tribonacci polynomial, which we will refer to as the generalized (p; q; r)-tribonacci polynomial, denoted by Tn;m(x).We find an explicit formula for Tn;m(x)which we use to introduce the incomplete ...
Tan, Elif, Shattuck, Mark
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summary:Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus $p$ and by its powers $p^t$, which were deduced by M. E. Waddill.
Klaška, Jiří, Zhi-Wei Sun
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We rewrite the whole article and generalized our result with the help of second name ...
Raza, Zahid +2 more
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A Study on Sum Formulas for Generalized Tribonacci Numbers: Closed Forms of the Sum Formulas ∑_{k=0}ⁿkx^{k}W_{k}, ∑_{k=1}ⁿkx^{k}W_{-k} [PDF]
In this paper, closed forms of the sum formulas ∑_{k=0}ⁿkx^{k}W_{k}, ∑_{k=1}ⁿkx^{k}W_{-k} for generalized Tribonacci numbers are presented. As special cases, we give summation formulas of Tribonacci, Tribonacci-Lucas, Padovan, Perrin, Narayana and some ...
Soykan, Yüksel
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A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas [PDF]
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers ...
Mehrad, Ahmad Ali +1 more
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Formula for the $n$th $k$-Generalized Fibonacci-like Number [PDF]
In this paper we provided a formula for the $n$th term of the $k$-generalized Fibonacci-like sequence, a generalization of the well-known Fibonacci sequence, having $k$ arbitrary initial terms, where the succeeding terms are obtained by adding its ...
Balsomo, Alexander J. +4 more
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On prime powers in linear recurrence sequences. [PDF]
Odjoumani J, Ziegler V.
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A Three-by-Three matrix representation of a generalized Tribonacci sequence
The Tribonacci sequence is a well-known example of third order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Tribonacci sequence is introduced and defined by $H_{n+2}=H_{n+1}+H_{n}+H_{n-1}\ \ (n\geq 1)$, where $H_{0}=3$, $H_{1}=0$ and $H_{2}=2$.
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Tribonacci modulo $2^t$ and $11^t$ [PDF]
summary:Our previous research was devoted to the problem of determining the primitive periods of the sequences $(G_n\mod p^t)_{n=1}^{\infty }$ where $(G_n)_{n=1}^{\infty }$ is a Tribonacci sequence defined by an arbitrary triple of integers. The solution
Klaška, Jiří, A. Vince
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