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 BernoulliB

 http://functions.wolfram.com/04.13.11.0001.01

 Input Form

 BernoulliB[n] == n! SeriesTerm[t/(E^t - 1), {t, 0, n}] /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BernoulliB", "[", "n", "]"]], "\[Equal]", RowBox[List[RowBox[List["n", "!"]], RowBox[List["SeriesTerm", "[", RowBox[List[FractionBox["t", RowBox[List[SuperscriptBox["\[ExponentialE]", "t"], "-", "1"]]], ",", RowBox[List["{", RowBox[List["t", ",", "0", ",", "n"]], "}"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 B TagBox["B", BernoulliB] n n ! ( [ t n ] t t - 1 ) /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] B TagBox["B", BernoulliB] n n ! ( [ t n ] t t - 1 ) /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BernoulliB", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["n", "!"]], " ", RowBox[List["SeriesTerm", "[", RowBox[List[FractionBox["t", RowBox[List[SuperscriptBox["\[ExponentialE]", "t"], "-", "1"]]], ",", RowBox[List["{", RowBox[List["t", ",", "0", ",", "n"]], "}"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29