THE GOLDEN RATIO FAMILY AND GENERALIZED FIBONACCI NUMBERS

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 1

Abstract

The equation  is used for a golden ratio family to calculate  for a range of values of a in the modular ring Z4.  The decimal part of ja is then used for x in the infinite series for which the associated sums are found. These lead to  a series of generalized Fibonacci sequences.

Authors and Affiliations

Anthony G. Shannona, J. V. Leyendekkers

Keywords

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  • EP ID EP651449
  • DOI 10.24297/jam.v10i1.1401
  • Views 144
  • Downloads 0

How To Cite

Anthony G. Shannona, J. V. Leyendekkers (2015). THE GOLDEN RATIO FAMILY AND GENERALIZED FIBONACCI NUMBERS. JOURNAL OF ADVANCES IN MATHEMATICS, 10(1), 3130-3137. https://europub.co.uk./articles/-A-651449