The main purpose of this paper is to establish some new properties of k‐Fibonacci and k‐Lucas numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct way. Moreover, some connections between k‐Fibonacci and k‐Lucas numbers are revealed to get a more strong result.

Topics
Number theory, Mathematical sequences
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© 2011 American Institute of Physics.
2011
American Institute of Physics
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