- FindStat

Identifier

St000228: Integer partitions ⟶ ℤ

Values

=>
                            Cc0002;cc-rep
                            
                            
                            

                        []=>0
[1]=>1
[2]=>2
[1,1]=>2
[3]=>3
[2,1]=>3
[1,1,1]=>3
[4]=>4
[3,1]=>4
[2,2]=>4
[2,1,1]=>4
[1,1,1,1]=>4
[5]=>5
[4,1]=>5
[3,2]=>5
[3,1,1]=>5
[2,2,1]=>5
[2,1,1,1]=>5
[1,1,1,1,1]=>5
[6]=>6
[5,1]=>6
[4,2]=>6
[4,1,1]=>6
[3,3]=>6
[3,2,1]=>6
[3,1,1,1]=>6
[2,2,2]=>6
[2,2,1,1]=>6
[2,1,1,1,1]=>6
[1,1,1,1,1,1]=>6
[7]=>7
[6,1]=>7
[5,2]=>7
[5,1,1]=>7
[4,3]=>7
[4,2,1]=>7
[4,1,1,1]=>7
[3,3,1]=>7
[3,2,2]=>7
[3,2,1,1]=>7
[3,1,1,1,1]=>7
[2,2,2,1]=>7
[2,2,1,1,1]=>7
[2,1,1,1,1,1]=>7
[1,1,1,1,1,1,1]=>7
[8]=>8
[7,1]=>8
[6,2]=>8
[6,1,1]=>8
[5,3]=>8
[5,2,1]=>8
[5,1,1,1]=>8
[4,4]=>8
[4,3,1]=>8
[4,2,2]=>8
[4,2,1,1]=>8
[4,1,1,1,1]=>8
[3,3,2]=>8
[3,3,1,1]=>8
[3,2,2,1]=>8
[3,2,1,1,1]=>8
[3,1,1,1,1,1]=>8
[2,2,2,2]=>8
[2,2,2,1,1]=>8
[2,2,1,1,1,1]=>8
[2,1,1,1,1,1,1]=>8
[1,1,1,1,1,1,1,1]=>8
[9]=>9
[8,1]=>9
[7,2]=>9
[7,1,1]=>9
[6,3]=>9
[6,2,1]=>9
[6,1,1,1]=>9
[5,4]=>9
[5,3,1]=>9
[5,2,2]=>9
[5,2,1,1]=>9
[5,1,1,1,1]=>9
[4,4,1]=>9
[4,3,2]=>9
[4,3,1,1]=>9
[4,2,2,1]=>9
[4,2,1,1,1]=>9
[4,1,1,1,1,1]=>9
[3,3,3]=>9
[3,3,2,1]=>9
[3,3,1,1,1]=>9
[3,2,2,2]=>9
[3,2,2,1,1]=>9
[3,2,1,1,1,1]=>9
[3,1,1,1,1,1,1]=>9
[2,2,2,2,1]=>9
[2,2,2,1,1,1]=>9
[2,2,1,1,1,1,1]=>9
[2,1,1,1,1,1,1,1]=>9
[1,1,1,1,1,1,1,1,1]=>9
[10]=>10
[9,1]=>10
[8,2]=>10
[8,1,1]=>10
[7,3]=>10
[7,2,1]=>10
[7,1,1,1]=>10
[6,4]=>10
[6,3,1]=>10
[6,2,2]=>10
[6,2,1,1]=>10
[6,1,1,1,1]=>10
[5,5]=>10
[5,4,1]=>10
[5,3,2]=>10
[5,3,1,1]=>10
[5,2,2,1]=>10
[5,2,1,1,1]=>10
[5,1,1,1,1,1]=>10
[4,4,2]=>10
[4,4,1,1]=>10
[4,3,3]=>10
[4,3,2,1]=>10
[4,3,1,1,1]=>10
[4,2,2,2]=>10
[4,2,2,1,1]=>10
[4,2,1,1,1,1]=>10
[4,1,1,1,1,1,1]=>10
[3,3,3,1]=>10
[3,3,2,2]=>10
[3,3,2,1,1]=>10
[3,3,1,1,1,1]=>10
[3,2,2,2,1]=>10
[3,2,2,1,1,1]=>10
[3,2,1,1,1,1,1]=>10
[3,1,1,1,1,1,1,1]=>10
[2,2,2,2,2]=>10
[2,2,2,2,1,1]=>10
[2,2,2,1,1,1,1]=>10
[2,2,1,1,1,1,1,1]=>10
[2,1,1,1,1,1,1,1,1]=>10
[1,1,1,1,1,1,1,1,1,1]=>10
                    

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Description

The size of a partition.
This statistic is the constant statistic of the level sets.

Code

def statistic(x):
    return x.size()

Created

Nov 19, 2014 at 16:52 by Ayushi Saxena

Updated

Oct 29, 2017 at 16:36 by Martin Rubey