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Infinite Series Involving Fibonacci Numbers Via Ap\'ery-Like Formulae

Number Theory 2016-03-15 v1

Abstract

In this note, infinite series involving Fibonacci and Lucas numbers are derived by employing formulae similar to that which Roger Ap\'ery utilized in his seminal paper proving the irrationality of ζ(3)\zeta(3).

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Cite

@article{arxiv.1603.03765,
  title  = {Infinite Series Involving Fibonacci Numbers Via Ap\'ery-Like Formulae},
  author = {Chance Sanford},
  journal= {arXiv preprint arXiv:1603.03765},
  year   = {2016}
}

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15 pages