Combinatorial Functions

(RefLink[Factorial, paclet:ref/Factorial]) ((RefLink[!, paclet:ref/Factorial])) — factorial function (total arrangements of n objects)

(RefLink[Subfactorial, paclet:ref/Subfactorial]) — number of derangements of n objects, leaving none unchanged

(RefLink[FactorialPower, paclet:ref/FactorialPower]) — factorial power

(RefLink[Hyperfactorial, paclet:ref/Hyperfactorial]) — hyperfactorial function

(RefLink[Factorial2, paclet:ref/Factorial2]) ((RefLink[!!, paclet:ref/Factorial2])) — double factorial

(RefLink[Binomial, paclet:ref/Binomial]) — binomial coefficients

(RefLink[Multinomial, paclet:ref/Multinomial]) — multinomial coefficients

(RefLink[CatalanNumber, paclet:ref/CatalanNumber]) — Catalan numbers

(RefLink[PolygonalNumber, paclet:ref/PolygonalNumber]) — triangular and other polygonal numbers

(RefLink[DeBruijnSequence, paclet:ref/DeBruijnSequence]) — de Bruijn sequence on a list of elements

(RefLink[StirlingS1, paclet:ref/StirlingS1]), (RefLink[StirlingS2, paclet:ref/StirlingS2]) — Stirling numbers

(RefLink[PartitionsP, paclet:ref/PartitionsP]), (RefLink[PartitionsQ, paclet:ref/PartitionsQ]) — number of partitions of an integer

(RefLink[BellB, paclet:ref/BellB]) — Bell numbers

(RefLink[BellY, paclet:ref/BellY]) — Bell polynomial

(RefLink[FrobeniusNumber, paclet:ref/FrobeniusNumber]) — Frobenius number for a list

(RefLink[FiniteGroupCount, paclet:ref/FiniteGroupCount]), (RefLink[FiniteAbelianGroupCount, paclet:ref/FiniteAbelianGroupCount]) — numbers of groups of given order