Identifier
Identifier
Values
[1] generating graphics... => 1
[2] generating graphics... => 2
[1,1] generating graphics... => 2
[3] generating graphics... => 3
[2,1] generating graphics... => 3
[1,1,1] generating graphics... => 3
[4] generating graphics... => 4
[3,1] generating graphics... => 4
[2,2] generating graphics... => 1
[2,1,1] generating graphics... => 4
[1,1,1,1] generating graphics... => 4
[5] generating graphics... => 5
[4,1] generating graphics... => 5
[3,2] generating graphics... => 1
[3,1,1] generating graphics... => 5
[2,2,1] generating graphics... => 1
[2,1,1,1] generating graphics... => 5
[1,1,1,1,1] generating graphics... => 5
[6] generating graphics... => 6
[5,1] generating graphics... => 6
[4,2] generating graphics... => 1
[4,1,1] generating graphics... => 6
[3,3] generating graphics... => 2
[3,2,1] generating graphics... => 1
[3,1,1,1] generating graphics... => 6
[2,2,2] generating graphics... => 2
[2,2,1,1] generating graphics... => 1
[2,1,1,1,1] generating graphics... => 6
[1,1,1,1,1,1] generating graphics... => 6
[7] generating graphics... => 7
[6,1] generating graphics... => 7
[5,2] generating graphics... => 1
[5,1,1] generating graphics... => 7
[4,3] generating graphics... => 2
[4,2,1] generating graphics... => 1
[4,1,1,1] generating graphics... => 7
[3,3,1] generating graphics... => 2
[3,2,2] generating graphics... => 2
[3,2,1,1] generating graphics... => 1
[3,1,1,1,1] generating graphics... => 7
[2,2,2,1] generating graphics... => 2
[2,2,1,1,1] generating graphics... => 1
[2,1,1,1,1,1] generating graphics... => 7
[1,1,1,1,1,1,1] generating graphics... => 7
[8] generating graphics... => 8
[7,1] generating graphics... => 8
[6,2] generating graphics... => 1
[6,1,1] generating graphics... => 8
[5,3] generating graphics... => 2
[5,2,1] generating graphics... => 1
[5,1,1,1] generating graphics... => 8
[4,4] generating graphics... => 3
[4,3,1] generating graphics... => 2
[4,2,2] generating graphics... => 2
[4,2,1,1] generating graphics... => 1
[4,1,1,1,1] generating graphics... => 8
[3,3,2] generating graphics... => 3
[3,3,1,1] generating graphics... => 2
[3,2,2,1] generating graphics... => 2
[3,2,1,1,1] generating graphics... => 1
[3,1,1,1,1,1] generating graphics... => 8
[2,2,2,2] generating graphics... => 3
[2,2,2,1,1] generating graphics... => 2
[2,2,1,1,1,1] generating graphics... => 1
[2,1,1,1,1,1,1] generating graphics... => 8
[1,1,1,1,1,1,1,1] generating graphics... => 8
[9] generating graphics... => 9
[8,1] generating graphics... => 9
[7,2] generating graphics... => 1
[7,1,1] generating graphics... => 9
[6,3] generating graphics... => 2
[6,2,1] generating graphics... => 1
[6,1,1,1] generating graphics... => 9
[5,4] generating graphics... => 3
[5,3,1] generating graphics... => 2
[5,2,2] generating graphics... => 2
[5,2,1,1] generating graphics... => 1
[5,1,1,1,1] generating graphics... => 9
[4,4,1] generating graphics... => 3
[4,3,2] generating graphics... => 3
[4,3,1,1] generating graphics... => 2
[4,2,2,1] generating graphics... => 2
[4,2,1,1,1] generating graphics... => 1
[4,1,1,1,1,1] generating graphics... => 9
[3,3,3] generating graphics... => 1
[3,3,2,1] generating graphics... => 3
[3,3,1,1,1] generating graphics... => 2
[3,2,2,2] generating graphics... => 3
[3,2,2,1,1] generating graphics... => 2
[3,2,1,1,1,1] generating graphics... => 1
[3,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,1] generating graphics... => 3
[2,2,2,1,1,1] generating graphics... => 2
[2,2,1,1,1,1,1] generating graphics... => 1
[2,1,1,1,1,1,1,1] generating graphics... => 9
[1,1,1,1,1,1,1,1,1] generating graphics... => 9
[10] generating graphics... => 10
[9,1] generating graphics... => 10
[8,2] generating graphics... => 1
[8,1,1] generating graphics... => 10
[7,3] generating graphics... => 2
[7,2,1] generating graphics... => 1
[7,1,1,1] generating graphics... => 10
[6,4] generating graphics... => 3
[6,3,1] generating graphics... => 2
[6,2,2] generating graphics... => 2
[6,2,1,1] generating graphics... => 1
[6,1,1,1,1] generating graphics... => 10
[5,5] generating graphics... => 4
[5,4,1] generating graphics... => 3
[5,3,2] generating graphics... => 3
[5,3,1,1] generating graphics... => 2
[5,2,2,1] generating graphics... => 2
[5,2,1,1,1] generating graphics... => 1
[5,1,1,1,1,1] generating graphics... => 10
[4,4,2] generating graphics... => 4
[4,4,1,1] generating graphics... => 3
[4,3,3] generating graphics... => 1
[4,3,2,1] generating graphics... => 3
[4,3,1,1,1] generating graphics... => 2
[4,2,2,2] generating graphics... => 3
[4,2,2,1,1] generating graphics... => 2
[4,2,1,1,1,1] generating graphics... => 1
[4,1,1,1,1,1,1] generating graphics... => 10
[3,3,3,1] generating graphics... => 1
[3,3,2,2] generating graphics... => 4
[3,3,2,1,1] generating graphics... => 3
[3,3,1,1,1,1] generating graphics... => 2
[3,2,2,2,1] generating graphics... => 3
[3,2,2,1,1,1] generating graphics... => 2
[3,2,1,1,1,1,1] generating graphics... => 1
[3,1,1,1,1,1,1,1] generating graphics... => 10
[2,2,2,2,2] generating graphics... => 4
[2,2,2,2,1,1] generating graphics... => 3
[2,2,2,1,1,1,1] generating graphics... => 2
[2,2,1,1,1,1,1,1] generating graphics... => 1
[2,1,1,1,1,1,1,1,1] generating graphics... => 10
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[11] generating graphics... => 11
[10,1] generating graphics... => 11
[9,2] generating graphics... => 1
[9,1,1] generating graphics... => 11
[8,3] generating graphics... => 2
[8,2,1] generating graphics... => 1
[8,1,1,1] generating graphics... => 11
[7,4] generating graphics... => 3
[7,3,1] generating graphics... => 2
[7,2,2] generating graphics... => 2
[7,2,1,1] generating graphics... => 1
[7,1,1,1,1] generating graphics... => 11
[6,5] generating graphics... => 4
[6,4,1] generating graphics... => 3
[6,3,2] generating graphics... => 3
[6,3,1,1] generating graphics... => 2
[6,2,2,1] generating graphics... => 2
[6,2,1,1,1] generating graphics... => 1
[6,1,1,1,1,1] generating graphics... => 11
[5,5,1] generating graphics... => 4
[5,4,2] generating graphics... => 4
[5,4,1,1] generating graphics... => 3
[5,3,3] generating graphics... => 1
[5,3,2,1] generating graphics... => 3
[5,3,1,1,1] generating graphics... => 2
[5,2,2,2] generating graphics... => 3
[5,2,2,1,1] generating graphics... => 2
[5,2,1,1,1,1] generating graphics... => 1
[5,1,1,1,1,1,1] generating graphics... => 11
[4,4,3] generating graphics... => 1
[4,4,2,1] generating graphics... => 4
[4,4,1,1,1] generating graphics... => 3
[4,3,3,1] generating graphics... => 1
[4,3,2,2] generating graphics... => 4
[4,3,2,1,1] generating graphics... => 3
[4,3,1,1,1,1] generating graphics... => 2
[4,2,2,2,1] generating graphics... => 3
[4,2,2,1,1,1] generating graphics... => 2
[4,2,1,1,1,1,1] generating graphics... => 1
[4,1,1,1,1,1,1,1] generating graphics... => 11
[3,3,3,2] generating graphics... => 1
[3,3,3,1,1] generating graphics... => 1
[3,3,2,2,1] generating graphics... => 4
[3,3,2,1,1,1] generating graphics... => 3
[3,3,1,1,1,1,1] generating graphics... => 2
[3,2,2,2,2] generating graphics... => 4
[3,2,2,2,1,1] generating graphics... => 3
[3,2,2,1,1,1,1] generating graphics... => 2
[3,2,1,1,1,1,1,1] generating graphics... => 1
[3,1,1,1,1,1,1,1,1] generating graphics... => 11
[2,2,2,2,2,1] generating graphics... => 4
[2,2,2,2,1,1,1] generating graphics... => 3
[2,2,2,1,1,1,1,1] generating graphics... => 2
[2,2,1,1,1,1,1,1,1] generating graphics... => 1
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[12] generating graphics... => 12
[11,1] generating graphics... => 12
[10,2] generating graphics... => 1
[10,1,1] generating graphics... => 12
[9,3] generating graphics... => 2
[9,2,1] generating graphics... => 1
[9,1,1,1] generating graphics... => 12
[8,4] generating graphics... => 3
[8,3,1] generating graphics... => 2
[8,2,2] generating graphics... => 2
[8,2,1,1] generating graphics... => 1
[8,1,1,1,1] generating graphics... => 12
[7,5] generating graphics... => 4
[7,4,1] generating graphics... => 3
[7,3,2] generating graphics... => 3
[7,3,1,1] generating graphics... => 2
[7,2,2,1] generating graphics... => 2
[7,2,1,1,1] generating graphics... => 1
[7,1,1,1,1,1] generating graphics... => 12
[6,6] generating graphics... => 5
[6,5,1] generating graphics... => 4
[6,4,2] generating graphics... => 4
[6,4,1,1] generating graphics... => 3
[6,3,3] generating graphics... => 1
[6,3,2,1] generating graphics... => 3
[6,3,1,1,1] generating graphics... => 2
[6,2,2,2] generating graphics... => 3
[6,2,2,1,1] generating graphics... => 2
[6,2,1,1,1,1] generating graphics... => 1
[6,1,1,1,1,1,1] generating graphics... => 12
[5,5,2] generating graphics... => 5
[5,5,1,1] generating graphics... => 4
[5,4,3] generating graphics... => 1
[5,4,2,1] generating graphics... => 4
[5,4,1,1,1] generating graphics... => 3
[5,3,3,1] generating graphics... => 1
[5,3,2,2] generating graphics... => 4
[5,3,2,1,1] generating graphics... => 3
[5,3,1,1,1,1] generating graphics... => 2
[5,2,2,2,1] generating graphics... => 3
[5,2,2,1,1,1] generating graphics... => 2
[5,2,1,1,1,1,1] generating graphics... => 1
[5,1,1,1,1,1,1,1] generating graphics... => 12
[4,4,4] generating graphics... => 2
[4,4,3,1] generating graphics... => 1
[4,4,2,2] generating graphics... => 5
[4,4,2,1,1] generating graphics... => 4
[4,4,1,1,1,1] generating graphics... => 3
[4,3,3,2] generating graphics... => 1
[4,3,3,1,1] generating graphics... => 1
[4,3,2,2,1] generating graphics... => 4
[4,3,2,1,1,1] generating graphics... => 3
[4,3,1,1,1,1,1] generating graphics... => 2
[4,2,2,2,2] generating graphics... => 4
[4,2,2,2,1,1] generating graphics... => 3
[4,2,2,1,1,1,1] generating graphics... => 2
[4,2,1,1,1,1,1,1] generating graphics... => 1
[4,1,1,1,1,1,1,1,1] generating graphics... => 12
[3,3,3,3] generating graphics... => 2
[3,3,3,2,1] generating graphics... => 1
[3,3,3,1,1,1] generating graphics... => 1
[3,3,2,2,2] generating graphics... => 5
[3,3,2,2,1,1] generating graphics... => 4
[3,3,2,1,1,1,1] generating graphics... => 3
[3,3,1,1,1,1,1,1] generating graphics... => 2
[3,2,2,2,2,1] generating graphics... => 4
[3,2,2,2,1,1,1] generating graphics... => 3
[3,2,2,1,1,1,1,1] generating graphics... => 2
[3,2,1,1,1,1,1,1,1] generating graphics... => 1
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 12
[2,2,2,2,2,2] generating graphics... => 5
[2,2,2,2,2,1,1] generating graphics... => 4
[2,2,2,2,1,1,1,1] generating graphics... => 3
[2,2,2,1,1,1,1,1,1] generating graphics... => 2
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 1
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 12
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 12
click to show generating function       
Description
The hook length of the last cell along the main diagonal of an integer partition.
Code
def size_of_durfee_square(p):
    s = 0
    while len(p) > s and p[s] >= s+1:
        s += 1
    return s

def statistic(p):
    pos = size_of_durfee_square(p)-1
    return p.hook_length(pos,pos)

Created
Apr 06, 2016 at 11:35 by Christian Stump
Updated
Oct 29, 2017 at 21:11 by Martin Rubey