Number of unrestricted partitions of an integer: Specific values (formula 04.16.03.0035)

PartitionsP

$Mathematica Notation$

Integer Functions

PartitionsP[n]

Specific values

Values at fixed points

http://functions.wolfram.com/04.16.03.0035.01

Input Form

PartitionsP[32] == 8349

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["PartitionsP", "[", "32", "]"]], "\[Equal]", "8349"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mi> p </mi> <annotation encoding='Mathematica'> TagBox["p", PartitionsP] </annotation> </semantics> <mo> ( </mo> <mn> 32 </mn> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mn> 8349 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> PartitionsP </ci> <cn type='integer'> 32 </cn> </apply> <cn type='integer'> 8349 </cn> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PartitionsP", "[", "32", "]"]], "]"]], "\[RuleDelayed]", "8349"]]]]

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

2007-05-02