Studies On the Recurrence Properties of Generalized Pentanacci Sequence
Keywords:
Pentanacci numbers, Pentanacci sequence, negatif indices, recurrence relations
Abstract
In this paper, we investigate the recurrence properties of the generalized Pentanacci sequence and present how the generalized Pentanacci sequence at negative indices can be expressed by the sequence itself at positive indices.
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References
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Melham, R. S., Some Analogs of the Identity F_{n}²+F_{n+1}²=F_{2n+1}², Fibonacci Quarterly, 305-311, 1999.
Natividad, L. R., On Solving Fibonacci-Like Sequences of Fourth, Fifth and Sixth Order, International Journal of Mathematics and Computing, 3 (2), 2013.
Rathore, G.P.S., Sikhwal, O., Choudhary, R., Formula for finding nth Term of Fibonacci-Like Sequence of Higher Order, International Journal of Mathematics And its Applications, 4 (2-D), 75-80, 2016.
Sloane, N.J.A., The on-line encyclopedia of integer sequences, http://oeis.org/
Soykan, Y., On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers, Asian Research Journal of Mathematics, 16(9), 102-121, 2020. DOI: 10.9734/ARJOM/2020/v16i930224
Soykan, Y., Properties of Generalized Fifth-Order Pell Numbers, Asian Research Journal of Mathematics, 15(3), 1-18, 2019.
Soykan, Y., A Study On Generalized 5-primes Numbers, Journal of Scientific Perspectives, 4(3), 185-202, 2020,, DOI: https://doi.org/10.26900/jsp.4.017.
Soykan, Y., On Generalized (r,s,t,u,v)-Numbers, IOSR Journal of Mathematics, 16(5), 38-52, 2020. DOI: 10.9790/5728-1605033852
Soykan, Y., Polatlı, E.E., A Note on Fifth Order Jacobsthal Numbers, IOSR Journal of Mathematics (IOSR-JM), 17(2), 01-23, 2021. DOI: 10.9790/5728-1702010123
Published
2021-04-06
How to Cite
Soykan, Y. (2021). Studies On the Recurrence Properties of Generalized Pentanacci Sequence. Journal of Progressive Research in Mathematics, 18(1), 64-71. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/2035
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