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 Fibonacci

 http://functions.wolfram.com/04.11.17.0018.01

 Input Form

 Fibonacci[\[Nu]] == (1 - GoldenRatio) Fibonacci[\[Nu] - 1] + GoldenRatio^(\[Nu] - 1)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Fibonacci", "[", "\[Nu]", "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "GoldenRatio"]], ")"]], " ", RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]", "-", "1"]], "]"]]]], "+", SuperscriptBox["GoldenRatio", RowBox[List["\[Nu]", "-", "1"]]]]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] ν ( 1 - ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] ) F TagBox["F", Fibonacci] ν - 1 + ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] ν - 1 Fibonacci ν 1 -1 GoldenRatio Fibonacci ν -1 GoldenRatio ν -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", "\[Nu]_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "GoldenRatio"]], ")"]], " ", RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]", "-", "1"]], "]"]]]], "+", SuperscriptBox["GoldenRatio", RowBox[List["\[Nu]", "-", "1"]]]]]]]]]

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

 2007-05-02