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 Fibonacci

 http://functions.wolfram.com/05.12.30.0001.01

 Input Form

 Fibonacci[n, z] == 0 /; (2 I Cos[(j Pi)/n] /; Element[n, Integers] && Element[j, Integers])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", "0"]], "/;", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["Cos", "[", FractionBox[RowBox[List["j", " ", "\[Pi]"]], "n"], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["j", "\[Element]", "Integers"]]]]]], ")"]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] n ( z ) 0 /; ( 2 cos ( j π n ) /; n TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] j TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] ) Condition Fibonacci n z 0 Condition 2 j n -1 n j [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["Cos", "[", FractionBox[RowBox[List["j", " ", "\[Pi]"]], "n"], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["j", "\[Element]", "Integers"]]]]]], ")"]]]]]]]]

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

 2002-12-18