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 Pi

 http://functions.wolfram.com/02.03.06.0053.01

 Input Form

 Pi == -((365306274 Sqrt[3])/100701965) + (2187/201403930) Sqrt[3] Sum[k^10/Binomial[2 k, k], {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["365306274", " ", SqrtBox["3"]]], "100701965"]]], "+", RowBox[List[FractionBox["2187", "201403930"], " ", SqrtBox["3"], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[SuperscriptBox["k", "10"], RowBox[List["Binomial", "[", RowBox[List[RowBox[List["2", " ", "k"]], ",", "k"]], "]"]]]]]]]]]]]]]

 MathML Form

 π - 365306274 3 100701965 + 2187 201403930 3 k = 1 k 10 ( 2 k k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox[RowBox[List["2", " ", "k"]], Identity, Rule[Editable, True]]], List[TagBox["k", Identity, Rule[Editable, True]]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]], Rule[Editable, False]] -1 365306274 3 1 2 100701965 -1 2187 201403930 3 1 2 k 1 k 10 Binomial 2 k k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["365306274", " ", SqrtBox["3"]]], "100701965"]]], "+", FractionBox[RowBox[List["2187", " ", SqrtBox["3"], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[SuperscriptBox["k", "10"], RowBox[List["Binomial", "[", RowBox[List[RowBox[List["2", " ", "k"]], ",", "k"]], "]"]]]]]]], "201403930"]]]]]]]

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

 2002-12-18

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