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 Pi

 http://functions.wolfram.com/02.03.06.0006.01

 Input Form

 Pi == (-Log[2]) Sqrt[3] + 3 Sqrt[3] Sum[(-1)^k/(3 k + 1), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["Log", "[", "2", "]"]]]], SqrtBox["3"]]], "+", RowBox[List["3", SqrtBox["3"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], RowBox[List[RowBox[List["3", "k"]], "+", "1"]]]]]]]]]]]]]

 MathML Form

 π 3 3 k = 0 ( - 1 ) k 3 k + 1 - log ( 2 ) 3 3 3 1 2 k 0 -1 k 3 k 1 -1 -1 2 3 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["Log", "[", "2", "]"]]]], " ", SqrtBox["3"]]], "+", RowBox[List["3", " ", SqrtBox["3"], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], RowBox[List[RowBox[List["3", " ", "k"]], "+", "1"]]]]]]]]]]]]]

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

 2001-10-29