Golden numbers

Document Type : Research Note

Author

Sirjan, University of Technology, Sirjan, Iran

Abstract

‎The golden ratio ϕ=1+52=1/61803398874... is the root of the polynomial x2x1=0‎, ‎and is the one of the important numbers in mathematics‎. ‎The golden ratio is also used in many fields of science‎. ‎The golden ratio appears in some patterns in nature‎, ‎including the spiral arrangement of leaves and other plant parts‎. ‎In this paper‎, ‎we present a sequence of golden numbers {ϕn}n and study their properties‎.

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