Identifier
Identifier
Values
[] generating graphics... => 0
[1] generating graphics... => 1
[2] generating graphics... => 2
[1,1] generating graphics... => 2
[3] generating graphics... => 3
[2,1] generating graphics... => 2
[1,1,1] generating graphics... => 3
[4] generating graphics... => 4
[3,1] generating graphics... => 3
[2,2] generating graphics... => 2
[2,1,1] generating graphics... => 3
[1,1,1,1] generating graphics... => 4
[5] generating graphics... => 5
[4,1] generating graphics... => 4
[3,2] generating graphics... => 3
[3,1,1] generating graphics... => 3
[2,2,1] generating graphics... => 3
[2,1,1,1] generating graphics... => 4
[1,1,1,1,1] generating graphics... => 5
[6] generating graphics... => 6
[5,1] generating graphics... => 5
[4,2] generating graphics... => 4
[4,1,1] generating graphics... => 4
[3,3] generating graphics... => 3
[3,2,1] generating graphics... => 3
[3,1,1,1] generating graphics... => 4
[2,2,2] generating graphics... => 3
[2,2,1,1] generating graphics... => 4
[2,1,1,1,1] generating graphics... => 5
[1,1,1,1,1,1] generating graphics... => 6
[7] generating graphics... => 7
[6,1] generating graphics... => 6
[5,2] generating graphics... => 5
[5,1,1] generating graphics... => 5
[4,3] generating graphics... => 4
[4,2,1] generating graphics... => 4
[4,1,1,1] generating graphics... => 4
[3,3,1] generating graphics... => 3
[3,2,2] generating graphics... => 3
[3,2,1,1] generating graphics... => 4
[3,1,1,1,1] generating graphics... => 5
[2,2,2,1] generating graphics... => 4
[2,2,1,1,1] generating graphics... => 5
[2,1,1,1,1,1] generating graphics... => 6
[1,1,1,1,1,1,1] generating graphics... => 7
[8] generating graphics... => 8
[7,1] generating graphics... => 7
[6,2] generating graphics... => 6
[6,1,1] generating graphics... => 6
[5,3] generating graphics... => 5
[5,2,1] generating graphics... => 5
[5,1,1,1] generating graphics... => 5
[4,4] generating graphics... => 4
[4,3,1] generating graphics... => 4
[4,2,2] generating graphics... => 4
[4,2,1,1] generating graphics... => 4
[4,1,1,1,1] generating graphics... => 5
[3,3,2] generating graphics... => 3
[3,3,1,1] generating graphics... => 4
[3,2,2,1] generating graphics... => 4
[3,2,1,1,1] generating graphics... => 5
[3,1,1,1,1,1] generating graphics... => 6
[2,2,2,2] generating graphics... => 4
[2,2,2,1,1] generating graphics... => 5
[2,2,1,1,1,1] generating graphics... => 6
[2,1,1,1,1,1,1] generating graphics... => 7
[1,1,1,1,1,1,1,1] generating graphics... => 8
[9] generating graphics... => 9
[8,1] generating graphics... => 8
[7,2] generating graphics... => 7
[7,1,1] generating graphics... => 7
[6,3] generating graphics... => 6
[6,2,1] generating graphics... => 6
[6,1,1,1] generating graphics... => 6
[5,4] generating graphics... => 5
[5,3,1] generating graphics... => 5
[5,2,2] generating graphics... => 5
[5,2,1,1] generating graphics... => 5
[5,1,1,1,1] generating graphics... => 5
[4,4,1] generating graphics... => 4
[4,3,2] generating graphics... => 4
[4,3,1,1] generating graphics... => 4
[4,2,2,1] generating graphics... => 4
[4,2,1,1,1] generating graphics... => 5
[4,1,1,1,1,1] generating graphics... => 6
[3,3,3] generating graphics... => 3
[3,3,2,1] generating graphics... => 4
[3,3,1,1,1] generating graphics... => 5
[3,2,2,2] generating graphics... => 4
[3,2,2,1,1] generating graphics... => 5
[3,2,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1] generating graphics... => 7
[2,2,2,2,1] generating graphics... => 5
[2,2,2,1,1,1] generating graphics... => 6
[2,2,1,1,1,1,1] generating graphics... => 7
[2,1,1,1,1,1,1,1] generating graphics... => 8
[1,1,1,1,1,1,1,1,1] generating graphics... => 9
[10] generating graphics... => 10
[9,1] generating graphics... => 9
[8,2] generating graphics... => 8
[8,1,1] generating graphics... => 8
[7,3] generating graphics... => 7
[7,2,1] generating graphics... => 7
[7,1,1,1] generating graphics... => 7
[6,4] generating graphics... => 6
[6,3,1] generating graphics... => 6
[6,2,2] generating graphics... => 6
[6,2,1,1] generating graphics... => 6
[6,1,1,1,1] generating graphics... => 6
[5,5] generating graphics... => 5
[5,4,1] generating graphics... => 5
[5,3,2] generating graphics... => 5
[5,3,1,1] generating graphics... => 5
[5,2,2,1] generating graphics... => 5
[5,2,1,1,1] generating graphics... => 5
[5,1,1,1,1,1] generating graphics... => 6
[4,4,2] generating graphics... => 4
[4,4,1,1] generating graphics... => 4
[4,3,3] generating graphics... => 4
[4,3,2,1] generating graphics... => 4
[4,3,1,1,1] generating graphics... => 5
[4,2,2,2] generating graphics... => 4
[4,2,2,1,1] generating graphics... => 5
[4,2,1,1,1,1] generating graphics... => 6
[4,1,1,1,1,1,1] generating graphics... => 7
[3,3,3,1] generating graphics... => 4
[3,3,2,2] generating graphics... => 4
[3,3,2,1,1] generating graphics... => 5
[3,3,1,1,1,1] generating graphics... => 6
[3,2,2,2,1] generating graphics... => 5
[3,2,2,1,1,1] generating graphics... => 6
[3,2,1,1,1,1,1] generating graphics... => 7
[3,1,1,1,1,1,1,1] generating graphics... => 8
[2,2,2,2,2] generating graphics... => 5
[2,2,2,2,1,1] generating graphics... => 6
[2,2,2,1,1,1,1] generating graphics... => 7
[2,2,1,1,1,1,1,1] generating graphics... => 8
[2,1,1,1,1,1,1,1,1] generating graphics... => 9
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[11] generating graphics... => 11
[10,1] generating graphics... => 10
[9,2] generating graphics... => 9
[9,1,1] generating graphics... => 9
[8,3] generating graphics... => 8
[8,2,1] generating graphics... => 8
[8,1,1,1] generating graphics... => 8
[7,4] generating graphics... => 7
[7,3,1] generating graphics... => 7
[7,2,2] generating graphics... => 7
[7,2,1,1] generating graphics... => 7
[7,1,1,1,1] generating graphics... => 7
[6,5] generating graphics... => 6
[6,4,1] generating graphics... => 6
[6,3,2] generating graphics... => 6
[6,3,1,1] generating graphics... => 6
[6,2,2,1] generating graphics... => 6
[6,2,1,1,1] generating graphics... => 6
[6,1,1,1,1,1] generating graphics... => 6
[5,5,1] generating graphics... => 5
[5,4,2] generating graphics... => 5
[5,4,1,1] generating graphics... => 5
[5,3,3] generating graphics... => 5
[5,3,2,1] generating graphics... => 5
[5,3,1,1,1] generating graphics... => 5
[5,2,2,2] generating graphics... => 5
[5,2,2,1,1] generating graphics... => 5
[5,2,1,1,1,1] generating graphics... => 6
[5,1,1,1,1,1,1] generating graphics... => 7
[4,4,3] generating graphics... => 4
[4,4,2,1] generating graphics... => 4
[4,4,1,1,1] generating graphics... => 5
[4,3,3,1] generating graphics... => 4
[4,3,2,2] generating graphics... => 4
[4,3,2,1,1] generating graphics... => 5
[4,3,1,1,1,1] generating graphics... => 6
[4,2,2,2,1] generating graphics... => 5
[4,2,2,1,1,1] generating graphics... => 6
[4,2,1,1,1,1,1] generating graphics... => 7
[4,1,1,1,1,1,1,1] generating graphics... => 8
[3,3,3,2] generating graphics... => 4
[3,3,3,1,1] generating graphics... => 5
[3,3,2,2,1] generating graphics... => 5
[3,3,2,1,1,1] generating graphics... => 6
[3,3,1,1,1,1,1] generating graphics... => 7
[3,2,2,2,2] generating graphics... => 5
[3,2,2,2,1,1] generating graphics... => 6
[3,2,2,1,1,1,1] generating graphics... => 7
[3,2,1,1,1,1,1,1] generating graphics... => 8
[3,1,1,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,2,1] generating graphics... => 6
[2,2,2,2,1,1,1] generating graphics... => 7
[2,2,2,1,1,1,1,1] generating graphics... => 8
[2,2,1,1,1,1,1,1,1] generating graphics... => 9
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[12] generating graphics... => 12
[11,1] generating graphics... => 11
[10,2] generating graphics... => 10
[10,1,1] generating graphics... => 10
[9,3] generating graphics... => 9
[9,2,1] generating graphics... => 9
[9,1,1,1] generating graphics... => 9
[8,4] generating graphics... => 8
[8,3,1] generating graphics... => 8
[8,2,2] generating graphics... => 8
[8,2,1,1] generating graphics... => 8
[8,1,1,1,1] generating graphics... => 8
[7,5] generating graphics... => 7
[7,4,1] generating graphics... => 7
[7,3,2] generating graphics... => 7
[7,3,1,1] generating graphics... => 7
[7,2,2,1] generating graphics... => 7
[7,2,1,1,1] generating graphics... => 7
[7,1,1,1,1,1] generating graphics... => 7
[6,6] generating graphics... => 6
[6,5,1] generating graphics... => 6
[6,4,2] generating graphics... => 6
[6,4,1,1] generating graphics... => 6
[6,3,3] generating graphics... => 6
[6,3,2,1] generating graphics... => 6
[6,3,1,1,1] generating graphics... => 6
[6,2,2,2] generating graphics... => 6
[6,2,2,1,1] generating graphics... => 6
[6,2,1,1,1,1] generating graphics... => 6
[6,1,1,1,1,1,1] generating graphics... => 7
[5,5,2] generating graphics... => 5
[5,5,1,1] generating graphics... => 5
[5,4,3] generating graphics... => 5
[5,4,2,1] generating graphics... => 5
[5,4,1,1,1] generating graphics... => 5
[5,3,3,1] generating graphics... => 5
[5,3,2,2] generating graphics... => 5
[5,3,2,1,1] generating graphics... => 5
[5,3,1,1,1,1] generating graphics... => 6
[5,2,2,2,1] generating graphics... => 5
[5,2,2,1,1,1] generating graphics... => 6
[5,2,1,1,1,1,1] generating graphics... => 7
[5,1,1,1,1,1,1,1] generating graphics... => 8
[4,4,4] generating graphics... => 4
[4,4,3,1] generating graphics... => 4
[4,4,2,2] generating graphics... => 4
[4,4,2,1,1] generating graphics... => 5
[4,4,1,1,1,1] generating graphics... => 6
[4,3,3,2] generating graphics... => 4
[4,3,3,1,1] generating graphics... => 5
[4,3,2,2,1] generating graphics... => 5
[4,3,2,1,1,1] generating graphics... => 6
[4,3,1,1,1,1,1] generating graphics... => 7
[4,2,2,2,2] generating graphics... => 5
[4,2,2,2,1,1] generating graphics... => 6
[4,2,2,1,1,1,1] generating graphics... => 7
[4,2,1,1,1,1,1,1] generating graphics... => 8
[4,1,1,1,1,1,1,1,1] generating graphics... => 9
[3,3,3,3] generating graphics... => 4
[3,3,3,2,1] generating graphics... => 5
[3,3,3,1,1,1] generating graphics... => 6
[3,3,2,2,2] generating graphics... => 5
[3,3,2,2,1,1] generating graphics... => 6
[3,3,2,1,1,1,1] generating graphics... => 7
[3,3,1,1,1,1,1,1] generating graphics... => 8
[3,2,2,2,2,1] generating graphics... => 6
[3,2,2,2,1,1,1] generating graphics... => 7
[3,2,2,1,1,1,1,1] generating graphics... => 8
[3,2,1,1,1,1,1,1,1] generating graphics... => 9
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[2,2,2,2,2,2] generating graphics... => 6
[2,2,2,2,2,1,1] generating graphics... => 7
[2,2,2,2,1,1,1,1] generating graphics... => 8
[2,2,2,1,1,1,1,1,1] generating graphics... => 9
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 10
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 12
click to show generating function       
Description
The maximum of the length and the largest part of the integer partition.
This is the side length of the smallest square the Ferrers diagram of the partition fits into. It is also the minimal number of colours required to colour the cells of the Ferrers diagram such that no two cells in a column or in a row have the same colour, see [1].
References
[1] Chow, T. Coloring a Ferrers diagram MathOverflow:203962
Code
def statistic(pi):
    if pi:
        return max(pi[0], len(pi))
    return 0
Created
Apr 19, 2017 at 09:45 by Martin Rubey
Updated
Oct 29, 2017 at 21:29 by Martin Rubey