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 Catalan

 http://functions.wolfram.com/02.07.07.0050.01

 Input Form

 Catalan == (2/Pi) Integrate[ArcTan[t]^2/t, {t, 0, 1}] + (7 Zeta[3])/(4 Pi)

 Standard Form

 Cell[BoxData[RowBox[List["Catalan", "\[Equal]", RowBox[List[RowBox[List[FractionBox["2", "\[Pi]"], " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[SuperscriptBox[RowBox[List["ArcTan", "[", "t", "]"]], "2"], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "+", FractionBox[RowBox[List["7", " ", RowBox[List["Zeta", "[", "3", "]"]]]], RowBox[List["4", " ", "\[Pi]"]]]]]]]]]

 MathML Form

 C TagBox["C", Function[Catalan]] 2 π 0 1 tan - 1 ( t ) 2 t t + 7 ζ ( 3 ) TagBox[RowBox[List["\[Zeta]", "(", TagBox["3", Rule[Editable, True]], ")"]], InterpretTemplate[Function[Zeta[Slot[1]]]]] 4 π Catalan 2 -1 t 0 1 t 2 t -1 7 Zeta 3 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "Catalan", "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["2", " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[SuperscriptBox[RowBox[List["ArcTan", "[", "t", "]"]], "2"], "t"], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "\[Pi]"], "+", FractionBox[RowBox[List["7", " ", RowBox[List["Zeta", "[", "3", "]"]]]], RowBox[List["4", " ", "\[Pi]"]]]]]]]]]

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

 2001-10-29