Some Basic Translational Properties of the General Fibonacci Line-Sequence

Jack Y. Lee

A chapter in Applications of Fibonacci Numbers, 1996, pp 339-347 from Springer

Abstract: Abstract In [2] we introduced the translation operations on the general Fibonacci line-sequence and showed that they possessed translation symmetry. In this paper, we investigate further these translational properties. Many known relations are found to be special cases of translational relations. Dual relations are established between translation operations and general Fibonacci numbers. The C-matrix representation of the translation operation is discussed. Also shown are the “Pleasant Equations” of the translation operations.

Date: 1996
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DOI: 10.1007/978-94-009-0223-7_28

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