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 LucasL

 http://functions.wolfram.com/04.22.17.0004.01

 Input Form

 LucasL[\[Nu]] == (1 - GoldenRatio) LucasL[\[Nu] - 1] + Sqrt[5] GoldenRatio^(\[Nu] - 1)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["LucasL", "[", "\[Nu]", "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "GoldenRatio"]], ")"]], " ", RowBox[List["LucasL", "[", RowBox[List["\[Nu]", "-", "1"]], "]"]]]], "+", RowBox[List[SqrtBox["5"], SuperscriptBox["GoldenRatio", RowBox[List["\[Nu]", "-", "1"]]]]]]]]]]]

 MathML Form

 L TagBox["L", LucasL] ν ( 1 - ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] ) L TagBox["L", LucasL] ν - 1 + 5 ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] ν - 1 LucasL ν 1 -1 GoldenRatio LucasL ν -1 5 1 2 GoldenRatio ν -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LucasL", "[", "\[Nu]_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "-", "GoldenRatio"]], ")"]], " ", RowBox[List["LucasL", "[", RowBox[List["\[Nu]", "-", "1"]], "]"]]]], "+", RowBox[List[SqrtBox["5"], " ", SuperscriptBox["GoldenRatio", RowBox[List["\[Nu]", "-", "1"]]]]]]]]]]]

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

 2007-05-02