Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we obtain a closed form for $F_{\sum_{i=1}^k}, P_{\sum_{i=1}^k}$ and $J_{\sum_{i=1}^k}$ for some positive integers $k$ where $F_r$, $P_r$ and $J_r$ are the rth Fibonacci, Pell and Jacobsthal numbers, respectively. We also give three open problems for the general cases $F_{\sum_{i=1}^k}, P_{\sum_{i=1}^k}$ and $J_{\sum_{i=1}^k}$ for any arbitrary positive integer $n$.(original abstract)
Twórcy
autor
- Kastamonu University Department of Computer Education and Instructional Technologies
autor
- Kastamonu University Department of Mathematics, Institute of Science and Technology
Bibliografia
- H.W. Gould, A history of the Fibonacci Q-matrix and a higher-dimensional problem, Fibonacci Quart. 19 (1981), no. 3, 250-257.
- F. Koken and D. Bozkurt, On the Jacobsthal numbers by matrix methods, Int. J. Contemp. Math. Sci. 3 (2008), no. 13, 605-614.
- T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.
- T. Koshy, Pell and Pell-Lucas Numbers with Applications, Springer, New York, 2014.
- P. Mana, Problem B-152: Fibonacci addition formula, Fibonacci Quart. 7 (1969), no. 3, 336.
- OEIS Foundation Inc., The On-Line Encyclopedia of Integer Sequences, 2011, http://oeis.org
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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