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 Fibonacci

 http://functions.wolfram.com/05.12.17.0005.01

 Input Form

 Fibonacci[n + 1, z] Fibonacci[n - 1, z] - Fibonacci[n, z]^2 == (-1)^n

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["n", "+", "1"]], ",", "z"]], "]"]], RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["n", "-", "1"]], ",", "z"]], "]"]]]], "-", SuperscriptBox[RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]], "2"]]], "\[Equal]", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"]]]]]

 MathML Form

 F TagBox["F", Fibonacci] n + 1 ( z ) F TagBox["F", Fibonacci] n - 1 ( z ) - F TagBox["F", Fibonacci] n ( z ) 2 ( - 1 ) n Fibonacci n 1 z Fibonacci n -1 z -1 Fibonacci n z 2 -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["n_", "+", "1"]], ",", "z_"]], "]"]], " ", RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["n_", "-", "1"]], ",", "z_"]], "]"]]]], "-", SuperscriptBox[RowBox[List["Fibonacci", "[", RowBox[List["n_", ",", "z_"]], "]"]], "2"]]], "]"]], "\[RuleDelayed]", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"]]]]]

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

 2001-10-29