Balancing and Lucas-Balancing Numbers and their Application to Cryptography
2016 ◽
Vol 5
(1)
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pp. 29-36
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It is well known that, a recursive relation for the sequence  is an equation that relates  to certain of its preceding terms . Initial conditions for the sequence  are explicitly given values for a finite number of the terms of the sequence. The recurrence relation is useful in certain counting problems like Fibonacci numbers, Lucas numbers, balancing numbers, Lucas-balancing numbers etc. In this study, we use the recurrence relations for both balancing and Lucas-balancing numbers and examine their application to cryptography.
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On Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0 kW3 k and Σn k=1 kW3− k
2020 ◽
pp. 37-52
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2020 ◽
Vol 26
(4)
◽
pp. 164-172
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2009 ◽
Vol 2009
◽
pp. 1-21
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2018 ◽
Vol 4
◽
pp. 137-143
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