Combinatorial

Combinatorial functions.

Functions

All functions return an integer value.

binomial

The function binomial returns binomial coefficients.

service url:

http://nzmath-json.appspot.com/combinatorial/binomial/n/m/

factorial

The function factorial returns factorial of parameter n, i.e., the product of 1,2,3,...,n.

service url:

http://nzmath-json.appspot.com/combinatorial/factorial/n/

fallingfactorial

The function fallingfactorial returns the falling factorial; n to the m falling, i.e. n(n-1)..(n-m+1).

service url:

http://nzmath-json.appspot.com/combinatorial/fallingfactorial/n/m/

risingfactorial

The function risingfactorial returns the rising factorial; n to the m rising, i.e. n(n+1)..(n+m-1).

service url:

http://nzmath-json.appspot.com/combinatorial/risingfactorial/n/m/

catalan

The function catalan returns the Catalan number for n.

service url:

http://nzmath-json.appspot.com/combinatorial/catalan/n/

euler

The function euler returns the Euler number for n.

service url:

http://nzmath-json.appspot.com/combinatorial/euler/n/

stirling1

The function stirling1 returns the Stirling number of the first kind.

service url:

http://nzmath-json.appspot.com/combinatorial/stirling1/n/m/

stirling2

The function stirling2 returns the Stirling number of the second kind.

service url:

http://nzmath-json.appspot.com/combinatorial/stirling2/n/m/

bell

The function bell returns the n-th Bell number.

service url:

http://nzmath-json.appspot.com/combinatorial/bell/n/

partition_number

The function partition_number returns the n-th partition number.

service url:

http://nzmath-json.appspot.com/combinatorial/partition_number/n/