Combinatorial Functions

 

ReferenceReference

Factorial (!) factorial function (total arrangements of n objects)

Subfactorial number of derangements of objects, leaving none unchanged

FactorialPower factorial power

Hyperfactorial hyperfactorial function

Factorial2 (!!) double factorial

Binomial binomial coefficients

Multinomial multinomial coefficients

CatalanNumber Catalan numbers

StirlingS1, StirlingS2 Stirling numbers

PartitionsP, PartitionsQ number of partitions of an integer

BellB Bell numbers

BellY Bell polynomial

FrobeniusNumber Frobenius number for a list

FiniteGroupCount, FiniteAbelianGroupCount numbers of groups of given order

ClebschGordan  ▪  ThreeJSymbol  ▪  SixJSymbol