Golden numbers

‎The golden ratio \phi=\frac{۱+\sqrt{۵}}{۲}=۱/۶۱۸۰۳۳۹۸۸۷۴... is the root of the polynomial x^۲-x-۱=۰‎, ‎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 \{\phi_n\}_n and study their properties‎.

کلیدواژه ها:

Golden ratio ، Polynomial ، Golden numbers ، Golden polynomials