Identifier
Identifier
Values
[] generating graphics... => 0
[1] generating graphics... => 0
[2] generating graphics... => 0
[1,1] generating graphics... => 1
[3] generating graphics... => 0
[2,1] generating graphics... => 0
[1,1,1] generating graphics... => 2
[4] generating graphics... => 0
[3,1] generating graphics... => 0
[2,2] generating graphics... => 1
[2,1,1] generating graphics... => 1
[1,1,1,1] generating graphics... => 3
[5] generating graphics... => 0
[4,1] generating graphics... => 0
[3,2] generating graphics... => 0
[3,1,1] generating graphics... => 1
[2,2,1] generating graphics... => 1
[2,1,1,1] generating graphics... => 2
[1,1,1,1,1] generating graphics... => 4
[6] generating graphics... => 0
[5,1] generating graphics... => 0
[4,2] generating graphics... => 0
[4,1,1] generating graphics... => 1
[3,3] generating graphics... => 1
[3,2,1] generating graphics... => 0
[3,1,1,1] generating graphics... => 2
[2,2,2] generating graphics... => 2
[2,2,1,1] generating graphics... => 2
[2,1,1,1,1] generating graphics... => 3
[1,1,1,1,1,1] generating graphics... => 5
[7] generating graphics... => 0
[6,1] generating graphics... => 0
[5,2] generating graphics... => 0
[5,1,1] generating graphics... => 1
[4,3] generating graphics... => 0
[4,2,1] generating graphics... => 0
[4,1,1,1] generating graphics... => 2
[3,3,1] generating graphics... => 1
[3,2,2] generating graphics... => 1
[3,2,1,1] generating graphics... => 1
[3,1,1,1,1] generating graphics... => 3
[2,2,2,1] generating graphics... => 2
[2,2,1,1,1] generating graphics... => 3
[2,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1] generating graphics... => 6
[8] generating graphics... => 0
[7,1] generating graphics... => 0
[6,2] generating graphics... => 0
[6,1,1] generating graphics... => 1
[5,3] generating graphics... => 0
[5,2,1] generating graphics... => 0
[5,1,1,1] generating graphics... => 2
[4,4] generating graphics... => 1
[4,3,1] generating graphics... => 0
[4,2,2] generating graphics... => 1
[4,2,1,1] generating graphics... => 1
[4,1,1,1,1] generating graphics... => 3
[3,3,2] generating graphics... => 1
[3,3,1,1] generating graphics... => 2
[3,2,2,1] generating graphics... => 1
[3,2,1,1,1] generating graphics... => 2
[3,1,1,1,1,1] generating graphics... => 4
[2,2,2,2] generating graphics... => 3
[2,2,2,1,1] generating graphics... => 3
[2,2,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1] generating graphics... => 5
[1,1,1,1,1,1,1,1] generating graphics... => 7
[9] generating graphics... => 0
[8,1] generating graphics... => 0
[7,2] generating graphics... => 0
[7,1,1] generating graphics... => 1
[6,3] generating graphics... => 0
[6,2,1] generating graphics... => 0
[6,1,1,1] generating graphics... => 2
[5,4] generating graphics... => 0
[5,3,1] generating graphics... => 0
[5,2,2] generating graphics... => 1
[5,2,1,1] generating graphics... => 1
[5,1,1,1,1] generating graphics... => 3
[4,4,1] generating graphics... => 1
[4,3,2] generating graphics... => 0
[4,3,1,1] generating graphics... => 1
[4,2,2,1] generating graphics... => 1
[4,2,1,1,1] generating graphics... => 2
[4,1,1,1,1,1] generating graphics... => 4
[3,3,3] generating graphics... => 2
[3,3,2,1] generating graphics... => 1
[3,3,1,1,1] generating graphics... => 3
[3,2,2,2] generating graphics... => 2
[3,2,2,1,1] generating graphics... => 2
[3,2,1,1,1,1] generating graphics... => 3
[3,1,1,1,1,1,1] generating graphics... => 5
[2,2,2,2,1] generating graphics... => 3
[2,2,2,1,1,1] generating graphics... => 4
[2,2,1,1,1,1,1] generating graphics... => 5
[2,1,1,1,1,1,1,1] generating graphics... => 6
[1,1,1,1,1,1,1,1,1] generating graphics... => 8
[10] generating graphics... => 0
[9,1] generating graphics... => 0
[8,2] generating graphics... => 0
[8,1,1] generating graphics... => 1
[7,3] generating graphics... => 0
[7,2,1] generating graphics... => 0
[7,1,1,1] generating graphics... => 2
[6,4] generating graphics... => 0
[6,3,1] generating graphics... => 0
[6,2,2] generating graphics... => 1
[6,2,1,1] generating graphics... => 1
[6,1,1,1,1] generating graphics... => 3
[5,5] generating graphics... => 1
[5,4,1] generating graphics... => 0
[5,3,2] generating graphics... => 0
[5,3,1,1] generating graphics... => 1
[5,2,2,1] generating graphics... => 1
[5,2,1,1,1] generating graphics... => 2
[5,1,1,1,1,1] generating graphics... => 4
[4,4,2] generating graphics... => 1
[4,4,1,1] generating graphics... => 2
[4,3,3] generating graphics... => 1
[4,3,2,1] generating graphics... => 0
[4,3,1,1,1] generating graphics... => 2
[4,2,2,2] generating graphics... => 2
[4,2,2,1,1] generating graphics... => 2
[4,2,1,1,1,1] generating graphics... => 3
[4,1,1,1,1,1,1] generating graphics... => 5
[3,3,3,1] generating graphics... => 2
[3,3,2,2] generating graphics... => 2
[3,3,2,1,1] generating graphics... => 2
[3,3,1,1,1,1] generating graphics... => 4
[3,2,2,2,1] generating graphics... => 2
[3,2,2,1,1,1] generating graphics... => 3
[3,2,1,1,1,1,1] generating graphics... => 4
[3,1,1,1,1,1,1,1] generating graphics... => 6
[2,2,2,2,2] generating graphics... => 4
[2,2,2,2,1,1] generating graphics... => 4
[2,2,2,1,1,1,1] generating graphics... => 5
[2,2,1,1,1,1,1,1] generating graphics... => 6
[2,1,1,1,1,1,1,1,1] generating graphics... => 7
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 9
[11] generating graphics... => 0
[10,1] generating graphics... => 0
[9,2] generating graphics... => 0
[9,1,1] generating graphics... => 1
[8,3] generating graphics... => 0
[8,2,1] generating graphics... => 0
[8,1,1,1] generating graphics... => 2
[7,4] generating graphics... => 0
[7,3,1] generating graphics... => 0
[7,2,2] generating graphics... => 1
[7,2,1,1] generating graphics... => 1
[7,1,1,1,1] generating graphics... => 3
[6,5] generating graphics... => 0
[6,4,1] generating graphics... => 0
[6,3,2] generating graphics... => 0
[6,3,1,1] generating graphics... => 1
[6,2,2,1] generating graphics... => 1
[6,2,1,1,1] generating graphics... => 2
[6,1,1,1,1,1] generating graphics... => 4
[5,5,1] generating graphics... => 1
[5,4,2] generating graphics... => 0
[5,4,1,1] generating graphics... => 1
[5,3,3] generating graphics... => 1
[5,3,2,1] generating graphics... => 0
[5,3,1,1,1] generating graphics... => 2
[5,2,2,2] generating graphics... => 2
[5,2,2,1,1] generating graphics... => 2
[5,2,1,1,1,1] generating graphics... => 3
[5,1,1,1,1,1,1] generating graphics... => 5
[4,4,3] generating graphics... => 1
[4,4,2,1] generating graphics... => 1
[4,4,1,1,1] generating graphics... => 3
[4,3,3,1] generating graphics... => 1
[4,3,2,2] generating graphics... => 1
[4,3,2,1,1] generating graphics... => 1
[4,3,1,1,1,1] generating graphics... => 3
[4,2,2,2,1] generating graphics... => 2
[4,2,2,1,1,1] generating graphics... => 3
[4,2,1,1,1,1,1] generating graphics... => 4
[4,1,1,1,1,1,1,1] generating graphics... => 6
[3,3,3,2] generating graphics... => 2
[3,3,3,1,1] generating graphics... => 3
[3,3,2,2,1] generating graphics... => 2
[3,3,2,1,1,1] generating graphics... => 3
[3,3,1,1,1,1,1] generating graphics... => 5
[3,2,2,2,2] generating graphics... => 3
[3,2,2,2,1,1] generating graphics... => 3
[3,2,2,1,1,1,1] generating graphics... => 4
[3,2,1,1,1,1,1,1] generating graphics... => 5
[3,1,1,1,1,1,1,1,1] generating graphics... => 7
[2,2,2,2,2,1] generating graphics... => 4
[2,2,2,2,1,1,1] generating graphics... => 5
[2,2,2,1,1,1,1,1] generating graphics... => 6
[2,2,1,1,1,1,1,1,1] generating graphics... => 7
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 8
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[12] generating graphics... => 0
[11,1] generating graphics... => 0
[10,2] generating graphics... => 0
[10,1,1] generating graphics... => 1
[9,3] generating graphics... => 0
[9,2,1] generating graphics... => 0
[9,1,1,1] generating graphics... => 2
[8,4] generating graphics... => 0
[8,3,1] generating graphics... => 0
[8,2,2] generating graphics... => 1
[8,2,1,1] generating graphics... => 1
[8,1,1,1,1] generating graphics... => 3
[7,5] generating graphics... => 0
[7,4,1] generating graphics... => 0
[7,3,2] generating graphics... => 0
[7,3,1,1] generating graphics... => 1
[7,2,2,1] generating graphics... => 1
[7,2,1,1,1] generating graphics... => 2
[7,1,1,1,1,1] generating graphics... => 4
[6,6] generating graphics... => 1
[6,5,1] generating graphics... => 0
[6,4,2] generating graphics... => 0
[6,4,1,1] generating graphics... => 1
[6,3,3] generating graphics... => 1
[6,3,2,1] generating graphics... => 0
[6,3,1,1,1] generating graphics... => 2
[6,2,2,2] generating graphics... => 2
[6,2,2,1,1] generating graphics... => 2
[6,2,1,1,1,1] generating graphics... => 3
[6,1,1,1,1,1,1] generating graphics... => 5
[5,5,2] generating graphics... => 1
[5,5,1,1] generating graphics... => 2
[5,4,3] generating graphics... => 0
[5,4,2,1] generating graphics... => 0
[5,4,1,1,1] generating graphics... => 2
[5,3,3,1] generating graphics... => 1
[5,3,2,2] generating graphics... => 1
[5,3,2,1,1] generating graphics... => 1
[5,3,1,1,1,1] generating graphics... => 3
[5,2,2,2,1] generating graphics... => 2
[5,2,2,1,1,1] generating graphics... => 3
[5,2,1,1,1,1,1] generating graphics... => 4
[5,1,1,1,1,1,1,1] generating graphics... => 6
[4,4,4] generating graphics... => 2
[4,4,3,1] generating graphics... => 1
[4,4,2,2] generating graphics... => 2
[4,4,2,1,1] generating graphics... => 2
[4,4,1,1,1,1] generating graphics... => 4
[4,3,3,2] generating graphics... => 1
[4,3,3,1,1] generating graphics... => 2
[4,3,2,2,1] generating graphics... => 1
[4,3,2,1,1,1] generating graphics... => 2
[4,3,1,1,1,1,1] generating graphics... => 4
[4,2,2,2,2] generating graphics... => 3
[4,2,2,2,1,1] generating graphics... => 3
[4,2,2,1,1,1,1] generating graphics... => 4
[4,2,1,1,1,1,1,1] generating graphics... => 5
[4,1,1,1,1,1,1,1,1] generating graphics... => 7
[3,3,3,3] generating graphics... => 3
[3,3,3,2,1] generating graphics... => 2
[3,3,3,1,1,1] generating graphics... => 4
[3,3,2,2,2] generating graphics... => 3
[3,3,2,2,1,1] generating graphics... => 3
[3,3,2,1,1,1,1] generating graphics... => 4
[3,3,1,1,1,1,1,1] generating graphics... => 6
[3,2,2,2,2,1] generating graphics... => 3
[3,2,2,2,1,1,1] generating graphics... => 4
[3,2,2,1,1,1,1,1] generating graphics... => 5
[3,2,1,1,1,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 8
[2,2,2,2,2,2] generating graphics... => 5
[2,2,2,2,2,1,1] generating graphics... => 5
[2,2,2,2,1,1,1,1] generating graphics... => 6
[2,2,2,1,1,1,1,1,1] generating graphics... => 7
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 8
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 9
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[5,4,3,1] generating graphics... => 0
[5,4,2,2] generating graphics... => 1
[5,4,2,1,1] generating graphics... => 1
[5,3,3,2] generating graphics... => 1
[5,3,3,1,1] generating graphics... => 2
[5,3,2,2,1] generating graphics... => 1
[4,4,3,2] generating graphics... => 1
[4,4,3,1,1] generating graphics... => 2
[4,4,2,2,1] generating graphics... => 2
[4,3,3,2,1] generating graphics... => 1
[5,4,3,2] generating graphics... => 0
[5,4,3,1,1] generating graphics... => 1
[5,4,2,2,1] generating graphics... => 1
[5,3,3,2,1] generating graphics... => 1
[4,4,3,2,1] generating graphics... => 1
[5,4,3,2,1] generating graphics... => 0
click to show generating function       
Description
The number of parts in an integer partition whose next smaller part has the same size.
In other words, this is the number of distinct parts subtracted from the number of all parts.
Code
def statistic(L):
    return len(L) - len(set(L))

Created
Jan 18, 2018 at 17:35 by Martin Rubey
Updated
Sep 14, 2018 at 19:20 by Martin Rubey