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 Cot

 http://functions.wolfram.com/01.09.23.0014.01

 Input Form

 Sum[Cot[(1/2) k Pi (1 + Sqrt[5])]/k^3, {k, 1, Infinity}] == -(Pi^3/(45 Sqrt[5]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Cot", "[", RowBox[List[FractionBox["1", "2"], " ", "k", " ", "\[Pi]", " ", RowBox[List["(", RowBox[List["1", "+", SqrtBox["5"]]], ")"]]]], "]"]], SuperscriptBox["k", "3"]]]], "\[Equal]", RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "3"], RowBox[List["45", " ", SqrtBox["5"]]]]]]]]]]

 MathML Form

 k = 1 1 k 3 cot ( 1 2 k π ( 1 + 5 ) ) - π 3 45 5 k 1 1 k 3 -1 1 2 k 1 5 1 2 -1 3 45 5 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Cot", "[", RowBox[List[FractionBox["1", "2"], " ", "k_", " ", "\[Pi]", " ", RowBox[List["(", RowBox[List["1", "+", SqrtBox["5"]]], ")"]]]], "]"]], SuperscriptBox["k_", "3"]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "3"], RowBox[List["45", " ", SqrtBox["5"]]]]]]]]]]

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

 2003-08-21