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Identifier
Values
=>
[1]=>1 [1,1]=>1 [2]=>1 [1,1,1]=>1 [1,2]=>1 [2,1]=>1 [3]=>1 [1,1,1,1]=>1 [1,1,2]=>2 [1,2,1]=>2 [1,3]=>1 [2,1,1]=>2 [2,2]=>1 [3,1]=>1 [4]=>1 [1,1,1,1,1]=>1 [1,1,1,2]=>2 [1,1,2,1]=>2 [1,1,3]=>2 [1,2,1,1]=>2 [1,2,2]=>2 [1,3,1]=>2 [1,4]=>1 [2,1,1,1]=>2 [2,1,2]=>2 [2,2,1]=>2 [2,3]=>1 [3,1,1]=>2 [3,2]=>1 [4,1]=>1 [5]=>1 [1,1,1,1,1,1]=>1 [1,1,1,1,2]=>2 [1,1,1,2,1]=>2 [1,1,1,3]=>2 [1,1,2,1,1]=>2 [1,1,2,2]=>1 [1,1,3,1]=>2 [1,1,4]=>2 [1,2,1,1,1]=>2 [1,2,1,2]=>1 [1,2,2,1]=>1 [1,2,3]=>1 [1,3,1,1]=>2 [1,3,2]=>1 [1,4,1]=>2 [1,5]=>1 [2,1,1,1,1]=>2 [2,1,1,2]=>1 [2,1,2,1]=>1 [2,1,3]=>1 [2,2,1,1]=>1 [2,2,2]=>1 [2,3,1]=>1 [2,4]=>1 [3,1,1,1]=>2 [3,1,2]=>1 [3,2,1]=>1 [3,3]=>1 [4,1,1]=>2 [4,2]=>1 [5,1]=>1 [6]=>1 [1,1,1,1,1,1,1]=>1 [1,1,1,1,1,2]=>2 [1,1,1,1,2,1]=>2 [1,1,1,1,3]=>2 [1,1,1,2,1,1]=>2 [1,1,1,2,2]=>2 [1,1,1,3,1]=>2 [1,1,1,4]=>2 [1,1,2,1,1,1]=>2 [1,1,2,1,2]=>2 [1,1,2,2,1]=>2 [1,1,2,3]=>2 [1,1,3,1,1]=>2 [1,1,3,2]=>2 [1,1,4,1]=>2 [1,1,5]=>2 [1,2,1,1,1,1]=>2 [1,2,1,1,2]=>2 [1,2,1,2,1]=>2 [1,2,1,3]=>2 [1,2,2,1,1]=>2 [1,2,2,2]=>2 [1,2,3,1]=>2 [1,2,4]=>1 [1,3,1,1,1]=>2 [1,3,1,2]=>2 [1,3,2,1]=>2 [1,3,3]=>2 [1,4,1,1]=>2 [1,4,2]=>1 [1,5,1]=>2 [1,6]=>1 [2,1,1,1,1,1]=>2 [2,1,1,1,2]=>2 [2,1,1,2,1]=>2 [2,1,1,3]=>2 [2,1,2,1,1]=>2 [2,1,2,2]=>2 [2,1,3,1]=>2 [2,1,4]=>1 [2,2,1,1,1]=>2 [2,2,1,2]=>2 [2,2,2,1]=>2 [2,2,3]=>2 [2,3,1,1]=>2 [2,3,2]=>2 [2,4,1]=>1 [2,5]=>1 [3,1,1,1,1]=>2 [3,1,1,2]=>2 [3,1,2,1]=>2 [3,1,3]=>2 [3,2,1,1]=>2 [3,2,2]=>2 [3,3,1]=>2 [3,4]=>1 [4,1,1,1]=>2 [4,1,2]=>1 [4,2,1]=>1 [4,3]=>1 [5,1,1]=>2 [5,2]=>1 [6,1]=>1 [7]=>1 [1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,2]=>2 [1,1,1,1,1,2,1]=>2 [1,1,1,1,1,3]=>2 [1,1,1,1,2,1,1]=>2 [1,1,1,1,2,2]=>2 [1,1,1,1,3,1]=>2 [1,1,1,1,4]=>2 [1,1,1,2,1,1,1]=>2 [1,1,1,2,1,2]=>2 [1,1,1,2,2,1]=>2 [1,1,1,2,3]=>2 [1,1,1,3,1,1]=>2 [1,1,1,3,2]=>2 [1,1,1,4,1]=>2 [1,1,1,5]=>2 [1,1,2,1,1,1,1]=>2 [1,1,2,1,1,2]=>2 [1,1,2,1,2,1]=>2 [1,1,2,1,3]=>2 [1,1,2,2,1,1]=>2 [1,1,2,2,2]=>2 [1,1,2,3,1]=>2 [1,1,2,4]=>2 [1,1,3,1,1,1]=>2 [1,1,3,1,2]=>2 [1,1,3,2,1]=>2 [1,1,3,3]=>1 [1,1,4,1,1]=>2 [1,1,4,2]=>2 [1,1,5,1]=>2 [1,1,6]=>2 [1,2,1,1,1,1,1]=>2 [1,2,1,1,1,2]=>2 [1,2,1,1,2,1]=>2 [1,2,1,1,3]=>2 [1,2,1,2,1,1]=>2 [1,2,1,2,2]=>2 [1,2,1,3,1]=>2 [1,2,1,4]=>2 [1,2,2,1,1,1]=>2 [1,2,2,1,2]=>2 [1,2,2,2,1]=>2 [1,2,2,3]=>2 [1,2,3,1,1]=>2 [1,2,3,2]=>2 [1,2,4,1]=>2 [1,2,5]=>1 [1,3,1,1,1,1]=>2 [1,3,1,1,2]=>2 [1,3,1,2,1]=>2 [1,3,1,3]=>1 [1,3,2,1,1]=>2 [1,3,2,2]=>2 [1,3,3,1]=>1 [1,3,4]=>1 [1,4,1,1,1]=>2 [1,4,1,2]=>2 [1,4,2,1]=>2 [1,4,3]=>1 [1,5,1,1]=>2 [1,5,2]=>1 [1,6,1]=>2 [1,7]=>1 [2,1,1,1,1,1,1]=>2 [2,1,1,1,1,2]=>2 [2,1,1,1,2,1]=>2 [2,1,1,1,3]=>2 [2,1,1,2,1,1]=>2 [2,1,1,2,2]=>2 [2,1,1,3,1]=>2 [2,1,1,4]=>2 [2,1,2,1,1,1]=>2 [2,1,2,1,2]=>2 [2,1,2,2,1]=>2 [2,1,2,3]=>2 [2,1,3,1,1]=>2 [2,1,3,2]=>2 [2,1,4,1]=>2 [2,1,5]=>1 [2,2,1,1,1,1]=>2 [2,2,1,1,2]=>2 [2,2,1,2,1]=>2 [2,2,1,3]=>2 [2,2,2,1,1]=>2 [2,2,2,2]=>1 [2,2,3,1]=>2 [2,2,4]=>2 [2,3,1,1,1]=>2 [2,3,1,2]=>2 [2,3,2,1]=>2 [2,3,3]=>2 [2,4,1,1]=>2 [2,4,2]=>2 [2,5,1]=>1 [2,6]=>1 [3,1,1,1,1,1]=>2 [3,1,1,1,2]=>2 [3,1,1,2,1]=>2 [3,1,1,3]=>1 [3,1,2,1,1]=>2 [3,1,2,2]=>2 [3,1,3,1]=>1 [3,1,4]=>1 [3,2,1,1,1]=>2 [3,2,1,2]=>2 [3,2,2,1]=>2 [3,2,3]=>2 [3,3,1,1]=>1 [3,3,2]=>2 [3,4,1]=>1 [3,5]=>1 [4,1,1,1,1]=>2 [4,1,1,2]=>2 [4,1,2,1]=>2 [4,1,3]=>1 [4,2,1,1]=>2 [4,2,2]=>2 [4,3,1]=>1 [4,4]=>1 [5,1,1,1]=>2 [5,1,2]=>1 [5,2,1]=>1 [5,3]=>1 [6,1,1]=>2 [6,2]=>1 [7,1]=>1 [8]=>1 [1,1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,1,2]=>2 [1,1,1,1,1,1,2,1]=>2 [1,1,1,1,1,1,3]=>2 [1,1,1,1,1,2,1,1]=>2 [1,1,1,1,1,2,2]=>2 [1,1,1,1,1,3,1]=>2 [1,1,1,1,1,4]=>2 [1,1,1,1,2,1,1,1]=>2 [1,1,1,1,2,1,2]=>2 [1,1,1,1,2,2,1]=>2 [1,1,1,1,2,3]=>2 [1,1,1,1,3,1,1]=>2 [1,1,1,1,3,2]=>2 [1,1,1,1,4,1]=>2 [1,1,1,1,5]=>2 [1,1,1,2,1,1,1,1]=>2 [1,1,1,2,1,1,2]=>2 [1,1,1,2,1,2,1]=>2 [1,1,1,2,1,3]=>2 [1,1,1,2,2,1,1]=>2 [1,1,1,2,2,2]=>1 [1,1,1,2,3,1]=>2 [1,1,1,2,4]=>2 [1,1,1,3,1,1,1]=>2 [1,1,1,3,1,2]=>2 [1,1,1,3,2,1]=>2 [1,1,1,3,3]=>2 [1,1,1,4,1,1]=>2 [1,1,1,4,2]=>2 [1,1,1,5,1]=>2 [1,1,1,6]=>2 [1,1,2,1,1,1,1,1]=>2 [1,1,2,1,1,1,2]=>2 [1,1,2,1,1,2,1]=>2 [1,1,2,1,1,3]=>2 [1,1,2,1,2,1,1]=>2 [1,1,2,1,2,2]=>1 [1,1,2,1,3,1]=>2 [1,1,2,1,4]=>2 [1,1,2,2,1,1,1]=>2 [1,1,2,2,1,2]=>1 [1,1,2,2,2,1]=>1 [1,1,2,2,3]=>2 [1,1,2,3,1,1]=>2 [1,1,2,3,2]=>2 [1,1,2,4,1]=>2 [1,1,2,5]=>2 [1,1,3,1,1,1,1]=>2 [1,1,3,1,1,2]=>2 [1,1,3,1,2,1]=>2 [1,1,3,1,3]=>2 [1,1,3,2,1,1]=>2 [1,1,3,2,2]=>2 [1,1,3,3,1]=>2 [1,1,3,4]=>2 [1,1,4,1,1,1]=>2 [1,1,4,1,2]=>2 [1,1,4,2,1]=>2 [1,1,4,3]=>2 [1,1,5,1,1]=>2 [1,1,5,2]=>2 [1,1,6,1]=>2 [1,1,7]=>2 [1,2,1,1,1,1,1,1]=>2 [1,2,1,1,1,1,2]=>2 [1,2,1,1,1,2,1]=>2 [1,2,1,1,1,3]=>2 [1,2,1,1,2,1,1]=>2 [1,2,1,1,2,2]=>1 [1,2,1,1,3,1]=>2 [1,2,1,1,4]=>2 [1,2,1,2,1,1,1]=>2 [1,2,1,2,1,2]=>1 [1,2,1,2,2,1]=>1 [1,2,1,2,3]=>2 [1,2,1,3,1,1]=>2 [1,2,1,3,2]=>2 [1,2,1,4,1]=>2 [1,2,1,5]=>2 [1,2,2,1,1,1,1]=>2 [1,2,2,1,1,2]=>1 [1,2,2,1,2,1]=>1 [1,2,2,1,3]=>2 [1,2,2,2,1,1]=>1 [1,2,2,2,2]=>2 [1,2,2,3,1]=>2 [1,2,2,4]=>2 [1,2,3,1,1,1]=>2 [1,2,3,1,2]=>2 [1,2,3,2,1]=>2 [1,2,3,3]=>2 [1,2,4,1,1]=>2 [1,2,4,2]=>2 [1,2,5,1]=>2 [1,2,6]=>1 [1,3,1,1,1,1,1]=>2 [1,3,1,1,1,2]=>2 [1,3,1,1,2,1]=>2 [1,3,1,1,3]=>2 [1,3,1,2,1,1]=>2 [1,3,1,2,2]=>2 [1,3,1,3,1]=>2 [1,3,1,4]=>2 [1,3,2,1,1,1]=>2 [1,3,2,1,2]=>2 [1,3,2,2,1]=>2 [1,3,2,3]=>2 [1,3,3,1,1]=>2 [1,3,3,2]=>2 [1,3,4,1]=>2 [1,3,5]=>1 [1,4,1,1,1,1]=>2 [1,4,1,1,2]=>2 [1,4,1,2,1]=>2 [1,4,1,3]=>2 [1,4,2,1,1]=>2 [1,4,2,2]=>2 [1,4,3,1]=>2 [1,4,4]=>2 [1,5,1,1,1]=>2 [1,5,1,2]=>2 [1,5,2,1]=>2 [1,5,3]=>1 [1,6,1,1]=>2 [1,6,2]=>1 [1,7,1]=>2 [1,8]=>1 [2,1,1,1,1,1,1,1]=>2 [2,1,1,1,1,1,2]=>2 [2,1,1,1,1,2,1]=>2 [2,1,1,1,1,3]=>2 [2,1,1,1,2,1,1]=>2 [2,1,1,1,2,2]=>1 [2,1,1,1,3,1]=>2 [2,1,1,1,4]=>2 [2,1,1,2,1,1,1]=>2 [2,1,1,2,1,2]=>1 [2,1,1,2,2,1]=>1 [2,1,1,2,3]=>2 [2,1,1,3,1,1]=>2 [2,1,1,3,2]=>2 [2,1,1,4,1]=>2 [2,1,1,5]=>2 [2,1,2,1,1,1,1]=>2 [2,1,2,1,1,2]=>1 [2,1,2,1,2,1]=>1 [2,1,2,1,3]=>2 [2,1,2,2,1,1]=>1 [2,1,2,2,2]=>2 [2,1,2,3,1]=>2 [2,1,2,4]=>2 [2,1,3,1,1,1]=>2 [2,1,3,1,2]=>2 [2,1,3,2,1]=>2 [2,1,3,3]=>2 [2,1,4,1,1]=>2 [2,1,4,2]=>2 [2,1,5,1]=>2 [2,1,6]=>1 [2,2,1,1,1,1,1]=>2 [2,2,1,1,1,2]=>1 [2,2,1,1,2,1]=>1 [2,2,1,1,3]=>2 [2,2,1,2,1,1]=>1 [2,2,1,2,2]=>2 [2,2,1,3,1]=>2 [2,2,1,4]=>2 [2,2,2,1,1,1]=>1 [2,2,2,1,2]=>2 [2,2,2,2,1]=>2 [2,2,2,3]=>2 [2,2,3,1,1]=>2 [2,2,3,2]=>2 [2,2,4,1]=>2 [2,2,5]=>2 [2,3,1,1,1,1]=>2 [2,3,1,1,2]=>2 [2,3,1,2,1]=>2 [2,3,1,3]=>2 [2,3,2,1,1]=>2 [2,3,2,2]=>2 [2,3,3,1]=>2 [2,3,4]=>1 [2,4,1,1,1]=>2 [2,4,1,2]=>2 [2,4,2,1]=>2 [2,4,3]=>1 [2,5,1,1]=>2 [2,5,2]=>2 [2,6,1]=>1 [2,7]=>1 [3,1,1,1,1,1,1]=>2 [3,1,1,1,1,2]=>2 [3,1,1,1,2,1]=>2 [3,1,1,1,3]=>2 [3,1,1,2,1,1]=>2 [3,1,1,2,2]=>2 [3,1,1,3,1]=>2 [3,1,1,4]=>2 [3,1,2,1,1,1]=>2 [3,1,2,1,2]=>2 [3,1,2,2,1]=>2 [3,1,2,3]=>2 [3,1,3,1,1]=>2 [3,1,3,2]=>2 [3,1,4,1]=>2 [3,1,5]=>1 [3,2,1,1,1,1]=>2 [3,2,1,1,2]=>2 [3,2,1,2,1]=>2 [3,2,1,3]=>2 [3,2,2,1,1]=>2 [3,2,2,2]=>2 [3,2,3,1]=>2 [3,2,4]=>1 [3,3,1,1,1]=>2 [3,3,1,2]=>2 [3,3,2,1]=>2 [3,3,3]=>1 [3,4,1,1]=>2 [3,4,2]=>1 [3,5,1]=>1 [3,6]=>1 [4,1,1,1,1,1]=>2 [4,1,1,1,2]=>2 [4,1,1,2,1]=>2 [4,1,1,3]=>2 [4,1,2,1,1]=>2 [4,1,2,2]=>2 [4,1,3,1]=>2 [4,1,4]=>2 [4,2,1,1,1]=>2 [4,2,1,2]=>2 [4,2,2,1]=>2 [4,2,3]=>1 [4,3,1,1]=>2 [4,3,2]=>1 [4,4,1]=>2 [4,5]=>1 [5,1,1,1,1]=>2 [5,1,1,2]=>2 [5,1,2,1]=>2 [5,1,3]=>1 [5,2,1,1]=>2 [5,2,2]=>2 [5,3,1]=>1 [5,4]=>1 [6,1,1,1]=>2 [6,1,2]=>1 [6,2,1]=>1 [6,3]=>1 [7,1,1]=>2 [7,2]=>1 [8,1]=>1 [9]=>1
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Description
The number of different multiplicities of parts of an integer composition.
Code
def statistic(C):
    C = list(C)
    seq = [ C.count(i) for i in [ 1 .. len(C) ] if C.count(i) ]
    return len(set((seq)))

Created
Jul 16, 2017 at 08:28 by Christian Stump
Updated
Nov 19, 2017 at 21:55 by Christian Stump