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Identifier
Values
=>
Cc0002;cc-rep
[]=>1 [1]=>1 [2]=>1 [1,1]=>1 [3]=>1 [2,1]=>3 [1,1,1]=>1 [4]=>1 [3,1]=>4 [2,2]=>3 [2,1,1]=>6 [1,1,1,1]=>1 [5]=>1 [4,1]=>5 [3,2]=>10 [3,1,1]=>10 [2,2,1]=>15 [2,1,1,1]=>10 [1,1,1,1,1]=>1 [6]=>1 [5,1]=>6 [4,2]=>15 [4,1,1]=>15 [3,3]=>10 [3,2,1]=>60 [3,1,1,1]=>20 [2,2,2]=>15 [2,2,1,1]=>45 [2,1,1,1,1]=>15 [1,1,1,1,1,1]=>1 [7]=>1 [6,1]=>7 [5,2]=>21 [5,1,1]=>21 [4,3]=>35 [4,2,1]=>105 [4,1,1,1]=>35 [3,3,1]=>70 [3,2,2]=>105 [3,2,1,1]=>210 [3,1,1,1,1]=>35 [2,2,2,1]=>105 [2,2,1,1,1]=>105 [2,1,1,1,1,1]=>21 [1,1,1,1,1,1,1]=>1 [8]=>1 [7,1]=>8 [6,2]=>28 [6,1,1]=>28 [5,3]=>56 [5,2,1]=>168 [5,1,1,1]=>56 [4,4]=>35 [4,3,1]=>280 [4,2,2]=>210 [4,2,1,1]=>420 [4,1,1,1,1]=>70 [3,3,2]=>280 [3,3,1,1]=>280 [3,2,2,1]=>840 [3,2,1,1,1]=>560 [3,1,1,1,1,1]=>56 [2,2,2,2]=>105 [2,2,2,1,1]=>420 [2,2,1,1,1,1]=>210 [2,1,1,1,1,1,1]=>28 [1,1,1,1,1,1,1,1]=>1 [9]=>1 [8,1]=>9 [7,2]=>36 [7,1,1]=>36 [6,3]=>84 [6,2,1]=>252 [6,1,1,1]=>84 [5,4]=>126 [5,3,1]=>504 [5,2,2]=>378 [5,2,1,1]=>756 [5,1,1,1,1]=>126 [4,4,1]=>315 [4,3,2]=>1260 [4,3,1,1]=>1260 [4,2,2,1]=>1890 [4,2,1,1,1]=>1260 [4,1,1,1,1,1]=>126 [3,3,3]=>280 [3,3,2,1]=>2520 [3,3,1,1,1]=>840 [3,2,2,2]=>1260 [3,2,2,1,1]=>3780 [3,2,1,1,1,1]=>1260 [3,1,1,1,1,1,1]=>84 [2,2,2,2,1]=>945 [2,2,2,1,1,1]=>1260 [2,2,1,1,1,1,1]=>378 [2,1,1,1,1,1,1,1]=>36 [1,1,1,1,1,1,1,1,1]=>1 [10]=>1 [9,1]=>10 [8,2]=>45 [8,1,1]=>45 [7,3]=>120 [7,2,1]=>360 [7,1,1,1]=>120 [6,4]=>210 [6,3,1]=>840 [6,2,2]=>630 [6,2,1,1]=>1260 [6,1,1,1,1]=>210 [5,5]=>126 [5,4,1]=>1260 [5,3,2]=>2520 [5,3,1,1]=>2520 [5,2,2,1]=>3780 [5,2,1,1,1]=>2520 [5,1,1,1,1,1]=>252 [4,4,2]=>1575 [4,4,1,1]=>1575 [4,3,3]=>2100 [4,3,2,1]=>12600 [4,3,1,1,1]=>4200 [4,2,2,2]=>3150 [4,2,2,1,1]=>9450 [4,2,1,1,1,1]=>3150 [4,1,1,1,1,1,1]=>210 [3,3,3,1]=>2800 [3,3,2,2]=>6300 [3,3,2,1,1]=>12600 [3,3,1,1,1,1]=>2100 [3,2,2,2,1]=>12600 [3,2,2,1,1,1]=>12600 [3,2,1,1,1,1,1]=>2520 [3,1,1,1,1,1,1,1]=>120 [2,2,2,2,2]=>945 [2,2,2,2,1,1]=>4725 [2,2,2,1,1,1,1]=>3150 [2,2,1,1,1,1,1,1]=>630 [2,1,1,1,1,1,1,1,1]=>45 [1,1,1,1,1,1,1,1,1,1]=>1
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Description
The number of set partitions whose sorted block sizes correspond to the partition.
Code
def statistic(L):
    return len( [ S for S in SetPartitions(L.size()) if S.to_partition() == L ] )
Created
Mar 25, 2013 at 10:03 by Christian Stump
Updated
Oct 29, 2017 at 20:28 by Martin Rubey