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 EulerGamma

 http://functions.wolfram.com/02.06.06.0008.01

 Input Form

 EulerGamma == 1 - Log[2]/2 - Sum[(Zeta[2 k + 1] - 1)/(2 k + 1), {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["EulerGamma", "\[Equal]", RowBox[List["1", "-", FractionBox[RowBox[List["Log", "[", "2", "]"]], "2"], "-", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["Zeta", "[", RowBox[List[RowBox[List["2", "k"]], "+", "1"]], "]"]], "-", "1"]], RowBox[List[RowBox[List["2", "k"]], "+", "1"]]]]]]]]]]]

 MathML Form

 TagBox["\[DoubledGamma]", Function[EulerGamma]] 1 - log ( 2 ) 2 - k = 1 ζ ( 2 k + 1 ) TagBox[RowBox[List["\[Zeta]", "(", TagBox[RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], Rule[Editable, True]], ")"]], InterpretTemplate[Function[\$CellContext`e, Zeta[\$CellContext`e]]]] - 1 2 k + 1 1 -1 2 2 -1 -1 k 1 Zeta 2 k 1 -1 2 k 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "EulerGamma", "]"]], "\[RuleDelayed]", RowBox[List["1", "-", FractionBox[RowBox[List["Log", "[", "2", "]"]], "2"], "-", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["Zeta", "[", RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], "]"]], "-", "1"]], RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]]]]]]]]]]]

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

 2001-10-29