On k-Fibonacci numbers of arithmetic indexes

@article{Falcn2009OnKN,
  title={On k-Fibonacci numbers of arithmetic indexes},
  author={S. Falc{\'o}n and Angel Plaza},
  journal={Appl. Math. Comput.},
  year={2009},
  volume={208},
  pages={180-185}
}
In this paper, we study the sums of k-Fibonacci numbers with indexes in an arithmetic sequence, say an þ r for fixed integers a and r. This enables us to give in a straightforward way several formulas for the sums of such numbers. 
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