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http://functions.wolfram.com/13.13.27.0001.01
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RamanujanTau[2 n + 1] == (691/33152) SquaresR[24, 2 n + 1] -
(1/2072) DivisorSigma[11, 2 n + 1]
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Cell[BoxData[RowBox[List[RowBox[List["RamanujanTau", "[", RowBox[List[RowBox[List["2", "n"]], "+", "1"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox["691", "33152"], RowBox[List["SquaresR", "[", RowBox[List["24", ",", RowBox[List[RowBox[List["2", "n"]], "+", "1"]]]], "]"]]]], "-", RowBox[List[FractionBox["1", "2072"], RowBox[List["DivisorSigma", "[", RowBox[List["11", ",", RowBox[List[RowBox[List["2", "n"]], "+", "1"]]]], "]"]]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mi> τ </mi> <annotation encoding='Mathematica'> TagBox["\[Tau]", RamanujanTau] </annotation> </semantics> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> n </mi> </mrow> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mrow> <mfrac> <mn> 691 </mn> <mn> 33152 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <semantics> <msub> <mi> r </mi> <mn> 24 </mn> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox["r", "24"], SquaresR] </annotation> </semantics> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> n </mi> </mrow> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 2072 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <msub> <semantics> <mi> σ </mi> <annotation encoding='Mathematica'> TagBox["\[Sigma]", DivisorSigma] </annotation> </semantics> <mn> 11 </mn> </msub> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> n </mi> </mrow> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> RamanujanTau </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> n </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> 691 <sep /> 33152 </cn> <apply> <ci> SquaresR </ci> <cn type='integer'> 24 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> n </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='rational'> 1 <sep /> 2072 </cn> <apply> <ci> DivisorSigma </ci> <cn type='integer'> 11 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> n </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamanujanTau", "[", RowBox[List[RowBox[List["2", " ", "n_"]], "+", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["691", " ", RowBox[List["SquaresR", "[", RowBox[List["24", ",", RowBox[List[RowBox[List["2", " ", "n"]], "+", "1"]]]], "]"]]]], "33152"], "-", FractionBox[RowBox[List["DivisorSigma", "[", RowBox[List["11", ",", RowBox[List[RowBox[List["2", " ", "n"]], "+", "1"]]]], "]"]], "2072"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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