Results 81 to 90 of about 1,240,504 (163)
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation [PDF]
, 2018 In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function ...
Bród, Dorota
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Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
Annales Mathematicae Silesianae, 2019 In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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On the reciprocal sum of Jacobsthal numbers
, 2022 In this paper, we study the reciprocal sums of the Jacobsthal numbers. We establish many results on the infinite sum and alternating infinite sum of the reciprocals of Jacobsthal numbers and square Jacobsthal numbers.Comment: 7 ...
Gaber, Ahmed
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International Journal of Analysis and Applications, 2013 In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar +2 more
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On the jacobsthal, horadam and geometric mean sequences [PDF]
, 2016 This paper, in considering aspects of the geometric mean sequence, offers new results connecting Jacobsthal and Horadam numbers which are established and then proved independently.This paper, in considering aspects of the geometric mean sequence, offers ...
Rabago, Julius, F. T. +1 more
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Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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The Representation and Finite Sums of the Padovan-p Jacobsthal Numbers
, 2021 In this paper, we regard the Padovan-p Jacobsthal sequence and then we discuss the connection of the Padovan-p Jacobsthal numbers and Jacobsthal numbers. Furthermore, we give the permanental, determinantal, combinatorial, and exponential representations,
Omur Deveci, Ozgur Erdag
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On split r-Jacobsthal quaternions [PDF]
, 2020 In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers.
Bród, Dorota, Dorota Bród
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Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions
, 2022 Summary: We study on Jacobsthal and Jacobsthal-Lucas generalized octonions over the algebra \(\mathbb{O}(a, b, c)\) where \(a\), \(b\) and \(c\) are real numbers. We present Binet formulas for these types of octonions.
Mert, Tuğba +3 more
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A combined approach to Perrin and Padovan hybrid sequences. [PDF]
Heliyon, 2021 Jafari Petroudi SH +3 more
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