Some new formulas on the K-Fibonacci numbers
DOI:
https://doi.org/10.24297/jam.v14i1.6918Keywords:
Geometric sum, Binomial transform, k-Lucas numbers, k-Fibonacci numbersAbstract
In this paper, we find some formulas for finding some special sums of the k-Fibonacci or the k-Lucas numbers. We find also some formulas that relate the k-Fibonacci or the k--Lucas numbers to some sums of these numbers..
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References
1. Bhatnagar, G. 2016. Analoques of a Fibonacci-Lucas identity. The Fibonacci Quarterly, 54(2), 166-171.
2. Falcon, S. 2001. On the k-Lucas Numbers. International Journal of Contemporary Mathematical Sciences, 6(21). 2011, 1039-1050.
3. Falcon, S. and Plaza, A. 2007. On the Fibonacci k-numbers. Chaos, Solitons & Fractals, 32(5), 1615-1624.
4. Horadam, A. F. 1961. A generalized Fibonacci sequence. Math Mag, 68, 455-459.
5. El Naschie, M.S. 2009. E-eight exceptional Lie groups, Fibonacci lattices and the standard model. Chaos, Solit.& Fract.41(3), 1340-1343.
2. Falcon, S. 2001. On the k-Lucas Numbers. International Journal of Contemporary Mathematical Sciences, 6(21). 2011, 1039-1050.
3. Falcon, S. and Plaza, A. 2007. On the Fibonacci k-numbers. Chaos, Solitons & Fractals, 32(5), 1615-1624.
4. Horadam, A. F. 1961. A generalized Fibonacci sequence. Math Mag, 68, 455-459.
5. El Naschie, M.S. 2009. E-eight exceptional Lie groups, Fibonacci lattices and the standard model. Chaos, Solit.& Fract.41(3), 1340-1343.
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Published
2018-01-24
How to Cite
Falcon, S. (2018). Some new formulas on the K-Fibonacci numbers. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7439–7445. https://doi.org/10.24297/jam.v14i1.6918
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