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 Fibonacci

 http://functions.wolfram.com/04.11.16.0031.01

 Input Form

 Fibonacci[2 \[Nu]] == 3 Fibonacci[2 (\[Nu] - 1)] - Fibonacci[2 (\[Nu] - 2)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["2", " ", "\[Nu]"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["3", RowBox[List["Fibonacci", "[", RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "-", "1"]], ")"]]]], "]"]]]], "-", RowBox[List["Fibonacci", "[", RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "-", "2"]], ")"]]]], "]"]]]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] 2 ν 3 F TagBox["F", Fibonacci] 2 ( ν - 1 ) - F TagBox["F", Fibonacci] 2 ( ν - 2 ) Fibonacci 2 ν 3 Fibonacci 2 ν -1 -1 Fibonacci 2 ν -2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", RowBox[List["2", " ", "\[Nu]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["3", " ", RowBox[List["Fibonacci", "[", RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "-", "1"]], ")"]]]], "]"]]]], "-", RowBox[List["Fibonacci", "[", RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "-", "2"]], ")"]]]], "]"]]]]]]]]

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

 2007-05-02