PeterBurbery/Combinatorics | Paclet Repository

PeterBurbery`Combinatorics`

NumberOfTableaux

NumberOfTableaux [t]
	returns the number of Young tableaux with shape t ,where the shape is a decreasing integer partition.

NumberOfTableaux [n]
	returns the total number of Young tableaux for all decreasing integer partitions of n .

Details and Options

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Examples

(3)

Basic Examples

(1)

Count the tableaux with shape {3,2}:

In[1]:=

NumberOfTableaux

[{3,2}]

Out[1]=

5

Scope

(2)

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SeeAlso

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Resource Function created by Ed Pegg Jr. and Steven Skiena

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