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 LucasL

 http://functions.wolfram.com/04.22.03.0001.01

 Input Form

 LucasL[n] == ((1 + Sqrt[5])/2)^n + ((1 - Sqrt[5])/2)^n /; Element[n, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LucasL", "[", "n", "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", FractionBox[RowBox[List["1", "+", SqrtBox["5"]]], "2"], ")"]], "n"], "+", SuperscriptBox[RowBox[List["(", FractionBox[RowBox[List["1", "-", SqrtBox["5"]]], "2"], ")"]], "n"]]]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]

 MathML Form

 L TagBox["L", LucasL] n ( 1 + 5 2 ) n + ( 1 - 5 2 ) n /; n TagBox["\[DoubleStruckCapitalZ]", Function[List[], Integers]] Condition LucasL n 1 5 1 2 2 -1 n 1 -1 5 1 2 2 -1 n n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LucasL", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", SqrtBox["5"]]], ")"]]]], ")"]], "n"], "+", SuperscriptBox[RowBox[List["(", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "-", SqrtBox["5"]]], ")"]]]], ")"]], "n"]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02