Function Repository Resource:

FerrersDiagram

Display the Ferrers diagram of a partition with dots

Contributed by: Wolfram Staff

ResourceFunction["FerrersDiagram"][p]

gives a ragged array of dots, with the number of dots in each row equal to a corresponding part of the integer partition p.

Details and Options

An integer partition of a positive integer n is a weakly decreasing list of positive integers that sum to n.

Rows 1 to 4 have 5, 4, 2, 2 dots:

In[1]:=

Out[1]=

Here is a random choice of one of the 204,226 partitions of 50:

In[2]:=

Out[2]=