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 EulerE

 http://functions.wolfram.com/05.13.03.0006.01

 Input Form

 EulerE[n, 1] == ((2 (2^(n + 1) - 1))/(n + 1)) BernoulliB[n + 1] /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EulerE", "[", RowBox[List["n", ",", "1"]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["2", " ", RowBox[List["(", RowBox[List[SuperscriptBox["2", RowBox[List["n", "+", "1"]]], "-", "1"]], ")"]]]], RowBox[List["n", "+", "1"]]], " ", RowBox[List["BernoulliB", "[", RowBox[List["n", "+", "1"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 E TagBox["E", EulerE] n ( 1 ) 2 ( 2 n + 1 - 1 ) n + 1 B TagBox["B", BernoulliB] n + 1 /; n + TagBox[SuperscriptBox["\[DoubleStruckCapitalN]", "+"], Function[Integers]] Condition EulerE n 1 2 2 n 1 -1 n 1 -1 BernoulliB n 1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EulerE", "[", RowBox[List["n_", ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", RowBox[List["(", RowBox[List[SuperscriptBox["2", RowBox[List["n", "+", "1"]]], "-", "1"]], ")"]]]], ")"]], " ", RowBox[List["BernoulliB", "[", RowBox[List["n", "+", "1"]], "]"]]]], RowBox[List["n", "+", "1"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29