Identifier
- St000150: Integer partitions ⟶ ℤ
Values
=>
Cc0002;cc-rep
[]=>0
[1]=>0
[2]=>0
[1,1]=>1
[3]=>0
[2,1]=>0
[1,1,1]=>1
[4]=>0
[3,1]=>0
[2,2]=>1
[2,1,1]=>1
[1,1,1,1]=>2
[5]=>0
[4,1]=>0
[3,2]=>0
[3,1,1]=>1
[2,2,1]=>1
[2,1,1,1]=>1
[1,1,1,1,1]=>2
[6]=>0
[5,1]=>0
[4,2]=>0
[4,1,1]=>1
[3,3]=>1
[3,2,1]=>0
[3,1,1,1]=>1
[2,2,2]=>1
[2,2,1,1]=>2
[2,1,1,1,1]=>2
[1,1,1,1,1,1]=>3
[7]=>0
[6,1]=>0
[5,2]=>0
[5,1,1]=>1
[4,3]=>0
[4,2,1]=>0
[4,1,1,1]=>1
[3,3,1]=>1
[3,2,2]=>1
[3,2,1,1]=>1
[3,1,1,1,1]=>2
[2,2,2,1]=>1
[2,2,1,1,1]=>2
[2,1,1,1,1,1]=>2
[1,1,1,1,1,1,1]=>3
[8]=>0
[7,1]=>0
[6,2]=>0
[6,1,1]=>1
[5,3]=>0
[5,2,1]=>0
[5,1,1,1]=>1
[4,4]=>1
[4,3,1]=>0
[4,2,2]=>1
[4,2,1,1]=>1
[4,1,1,1,1]=>2
[3,3,2]=>1
[3,3,1,1]=>2
[3,2,2,1]=>1
[3,2,1,1,1]=>1
[3,1,1,1,1,1]=>2
[2,2,2,2]=>2
[2,2,2,1,1]=>2
[2,2,1,1,1,1]=>3
[2,1,1,1,1,1,1]=>3
[1,1,1,1,1,1,1,1]=>4
[9]=>0
[8,1]=>0
[7,2]=>0
[7,1,1]=>1
[6,3]=>0
[6,2,1]=>0
[6,1,1,1]=>1
[5,4]=>0
[5,3,1]=>0
[5,2,2]=>1
[5,2,1,1]=>1
[5,1,1,1,1]=>2
[4,4,1]=>1
[4,3,2]=>0
[4,3,1,1]=>1
[4,2,2,1]=>1
[4,2,1,1,1]=>1
[4,1,1,1,1,1]=>2
[3,3,3]=>1
[3,3,2,1]=>1
[3,3,1,1,1]=>2
[3,2,2,2]=>1
[3,2,2,1,1]=>2
[3,2,1,1,1,1]=>2
[3,1,1,1,1,1,1]=>3
[2,2,2,2,1]=>2
[2,2,2,1,1,1]=>2
[2,2,1,1,1,1,1]=>3
[2,1,1,1,1,1,1,1]=>3
[1,1,1,1,1,1,1,1,1]=>4
[10]=>0
[9,1]=>0
[8,2]=>0
[8,1,1]=>1
[7,3]=>0
[7,2,1]=>0
[7,1,1,1]=>1
[6,4]=>0
[6,3,1]=>0
[6,2,2]=>1
[6,2,1,1]=>1
[6,1,1,1,1]=>2
[5,5]=>1
[5,4,1]=>0
[5,3,2]=>0
[5,3,1,1]=>1
[5,2,2,1]=>1
[5,2,1,1,1]=>1
[5,1,1,1,1,1]=>2
[4,4,2]=>1
[4,4,1,1]=>2
[4,3,3]=>1
[4,3,2,1]=>0
[4,3,1,1,1]=>1
[4,2,2,2]=>1
[4,2,2,1,1]=>2
[4,2,1,1,1,1]=>2
[4,1,1,1,1,1,1]=>3
[3,3,3,1]=>1
[3,3,2,2]=>2
[3,3,2,1,1]=>2
[3,3,1,1,1,1]=>3
[3,2,2,2,1]=>1
[3,2,2,1,1,1]=>2
[3,2,1,1,1,1,1]=>2
[3,1,1,1,1,1,1,1]=>3
[2,2,2,2,2]=>2
[2,2,2,2,1,1]=>3
[2,2,2,1,1,1,1]=>3
[2,2,1,1,1,1,1,1]=>4
[2,1,1,1,1,1,1,1,1]=>4
[1,1,1,1,1,1,1,1,1,1]=>5
[5,4,2]=>0
[5,4,1,1]=>1
[5,3,3]=>1
[5,3,2,1]=>0
[5,3,1,1,1]=>1
[5,2,2,2]=>1
[5,2,2,1,1]=>2
[4,4,3]=>1
[4,4,2,1]=>1
[4,4,1,1,1]=>2
[4,3,3,1]=>1
[4,3,2,2]=>1
[4,3,2,1,1]=>1
[4,2,2,2,1]=>1
[3,3,3,2]=>1
[3,3,3,1,1]=>2
[3,3,2,2,1]=>2
[6,4,2]=>0
[5,4,3]=>0
[5,4,2,1]=>0
[5,4,1,1,1]=>1
[5,3,3,1]=>1
[5,3,2,2]=>1
[5,3,2,1,1]=>1
[5,2,2,2,1]=>1
[4,4,3,1]=>1
[4,4,2,2]=>2
[4,4,2,1,1]=>2
[4,3,3,2]=>1
[4,3,3,1,1]=>2
[4,3,2,2,1]=>1
[3,3,3,2,1]=>1
[3,3,2,2,1,1]=>3
[5,4,3,1]=>0
[5,4,2,2]=>1
[5,4,2,1,1]=>1
[5,3,3,2]=>1
[5,3,3,1,1]=>2
[5,3,2,2,1]=>1
[4,4,3,2]=>1
[4,4,3,1,1]=>2
[4,4,2,2,1]=>2
[4,3,3,2,1]=>1
[5,4,3,2]=>0
[5,4,3,1,1]=>1
[5,4,2,2,1]=>1
[5,3,3,2,1]=>1
[4,4,3,2,1]=>1
[5,4,3,2,1]=>0
[7,5,3,1]=>0
[7,5,4,3,1]=>0
[6,5,4,3,2,1]=>0
[11,7,5,1]=>0
[9,7,5,3,1]=>0
[7,6,5,4,3,2,1]=>0
[9,7,5,5,3,1]=>1
[11,9,7,5,3,1]=>0
[11,8,7,5,4,1]=>0
[8,7,6,5,4,3,2,1]=>0
[11,9,7,6,5,3,1]=>0
[13,11,9,7,5,3,1]=>0
[13,11,9,7,7,5,3,1]=>1
[17,13,11,9,7,5,1]=>0
[15,13,11,9,7,5,3,1]=>0
[29,23,19,17,13,11,7,1]=>0
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Description
References
[1] Tim Statistics on partitions equidistributed with number of even parts MathOverflow:134577
Code
def statistic(L): E = L.to_exp() return sum( floor( e/2 ) for e in E )
Created
Jul 08, 2013 at 13:35 by Christian Stump
Updated
Sep 09, 2020 at 21:28 by Martin Rubey
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