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 GoldenRatio

 http://functions.wolfram.com/02.02.17.0008.01

 Input Form

 GoldenRatio^n == GoldenRatio^(n - 1) + GoldenRatio^(n - 2) /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["GoldenRatio", "n"], "\[Equal]", RowBox[List[SuperscriptBox["GoldenRatio", RowBox[List["n", "-", "1"]]], "+", SuperscriptBox["GoldenRatio", RowBox[List["n", "-", "2"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] n ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] n - 1 + ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] n - 2 /; n TagBox["\[DoubleStruckCapitalN]", Function[List[], Integers]] + Condition GoldenRatio n GoldenRatio n -1 GoldenRatio n -2 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["GoldenRatio", "n_"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["GoldenRatio", RowBox[List["n", "-", "1"]]], "+", SuperscriptBox["GoldenRatio", RowBox[List["n", "-", "2"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2007-05-02