Identifier
-
Mp00307:
Posets
—promotion cycle type⟶
Integer partitions
St000473: Integer partitions ⟶ ℤ
Values
=>
Cc0014;cc-rep-0
Cc0002;cc-rep
([],1)=>[1]=>0
([],2)=>[2]=>1
([(0,1)],2)=>[1]=>0
([],3)=>[3,3]=>2
([(1,2)],3)=>[3]=>1
([(0,1),(0,2)],3)=>[2]=>1
([(0,2),(2,1)],3)=>[1]=>0
([(0,2),(1,2)],3)=>[2]=>1
([(2,3)],4)=>[4,4,4]=>3
([(1,2),(1,3)],4)=>[8]=>1
([(0,1),(0,2),(0,3)],4)=>[3,3]=>2
([(0,2),(0,3),(3,1)],4)=>[3]=>1
([(0,1),(0,2),(1,3),(2,3)],4)=>[2]=>1
([(1,2),(2,3)],4)=>[4]=>1
([(0,3),(3,1),(3,2)],4)=>[2]=>1
([(1,3),(2,3)],4)=>[8]=>1
([(0,3),(1,3),(3,2)],4)=>[2]=>1
([(0,3),(1,3),(2,3)],4)=>[3,3]=>2
([(0,3),(1,2)],4)=>[4,2]=>2
([(0,3),(1,2),(1,3)],4)=>[3,2]=>2
([(0,2),(0,3),(1,2),(1,3)],4)=>[2,2]=>2
([(0,3),(2,1),(3,2)],4)=>[1]=>0
([(0,3),(1,2),(2,3)],4)=>[3]=>1
([(0,2),(0,3),(0,4),(4,1)],5)=>[4,4,4]=>3
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>[8]=>1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>[3,3]=>2
([(0,3),(0,4),(4,1),(4,2)],5)=>[8]=>1
([(1,2),(1,3),(2,4),(3,4)],5)=>[5,5]=>2
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>[2]=>1
([(0,3),(0,4),(3,2),(4,1)],5)=>[4,2]=>2
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>[3,2]=>2
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2]=>2
([(1,4),(4,2),(4,3)],5)=>[5,5]=>2
([(0,4),(4,1),(4,2),(4,3)],5)=>[3,3]=>2
([(1,4),(2,4),(4,3)],5)=>[5,5]=>2
([(0,4),(1,4),(4,2),(4,3)],5)=>[2,2]=>2
([(0,4),(1,4),(2,4),(4,3)],5)=>[3,3]=>2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[6,6]=>2
([(0,4),(1,4),(2,3),(4,2)],5)=>[2]=>1
([(0,4),(1,3),(2,3),(3,4)],5)=>[8]=>1
([(0,4),(1,4),(2,3),(3,4)],5)=>[4,4,4]=>3
([(0,4),(1,2),(1,4),(2,3)],5)=>[5,4]=>2
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>[3,2]=>2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>[6]=>1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>[2,2]=>2
([(0,4),(1,2),(1,4),(4,3)],5)=>[7]=>1
([(0,2),(0,4),(3,1),(4,3)],5)=>[4]=>1
([(0,4),(1,2),(1,3),(3,4)],5)=>[4,4,3]=>3
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>[3]=>1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[8]=>1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[6,6]=>2
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>[5,3]=>2
([(0,3),(1,2),(1,4),(3,4)],5)=>[5,4]=>2
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>[6]=>1
([(1,4),(3,2),(4,3)],5)=>[5]=>1
([(0,3),(3,4),(4,1),(4,2)],5)=>[2]=>1
([(0,4),(1,2),(2,4),(4,3)],5)=>[3]=>1
([(0,3),(1,4),(4,2)],5)=>[5,5]=>2
([(0,4),(3,2),(4,1),(4,3)],5)=>[3]=>1
([(0,4),(1,2),(2,3),(2,4)],5)=>[7]=>1
([(0,4),(2,3),(3,1),(4,2)],5)=>[1]=>0
([(0,3),(1,2),(2,4),(3,4)],5)=>[4,2]=>2
([(0,4),(1,2),(2,3),(3,4)],5)=>[4]=>1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>[2]=>1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>[3,3]=>2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6,6]=>2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>[8]=>1
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>[5,5]=>2
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[12]=>1
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>[2,2]=>2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>[6]=>1
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[2,2]=>2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>[7]=>1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[6,6]=>2
([(1,4),(4,5),(5,2),(5,3)],6)=>[12]=>1
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>[3,3]=>2
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>[6,6]=>2
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>[6,6]=>2
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>[3,3]=>2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[6,6]=>2
([(1,5),(2,5),(3,4),(5,3)],6)=>[12]=>1
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>[8]=>1
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>[6]=>1
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>[2,2]=>2
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>[5,5]=>2
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>[4,2]=>2
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>[8]=>1
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>[4,4,4]=>3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>[2]=>1
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[8]=>1
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[5,5]=>2
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[3,3]=>2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>[5,5]=>2
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[2,2]=>2
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>[6,2,2]=>3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>[3,2]=>2
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>[10,2]=>2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>[4,4,2,2]=>4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>[6,2,2]=>3
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>[2,2,2,2]=>4
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>[4,4]=>2
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>[2,2]=>2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>[6]=>1
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>[4,4,4]=>3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>[5,5]=>2
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>[5,5]=>2
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>[5,4]=>2
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>[3,2]=>2
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>[5,4]=>2
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>[5,3]=>2
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>[3]=>1
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[8]=>1
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>[4,4,3]=>3
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>[4,4,3]=>3
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>[4]=>1
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>[2]=>1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[5,5]=>2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[6,6]=>2
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>[8,3]=>2
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>[5,3]=>2
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>[6]=>1
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>[7]=>1
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>[9,3]=>2
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[3,3,3]=>3
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[6]=>1
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>[5,4]=>2
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>[5]=>1
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>[8]=>1
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>[8,3]=>2
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>[6]=>1
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>[4,3,3]=>3
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>[4,4,4]=>3
([(1,5),(3,4),(4,2),(5,3)],6)=>[6]=>1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>[2]=>1
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>[4,2]=>2
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>[4]=>1
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>[4,4,2,2]=>4
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[12]=>1
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>[2]=>1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>[4]=>1
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[5,4]=>2
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>[7]=>1
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>[5,4]=>2
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>[4,4]=>2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>[2,2]=>2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>[3,2]=>2
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>[4,2]=>2
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>[9,3]=>2
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>[7]=>1
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>[3]=>1
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>[5,4]=>2
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>[1]=>0
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>[3]=>1
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>[5]=>1
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>[2]=>1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>[5,5]=>2
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>[3]=>1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>[6,6]=>2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[6,6]=>2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>[8]=>1
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>[6,6]=>2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>[2,2]=>2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>[4,4,2,2]=>4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>[6,2,2]=>3
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[2,2,2,2]=>4
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[6,6]=>2
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>[6]=>1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[6,6]=>2
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[3,3]=>2
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[12]=>1
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[3,3]=>2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[6,6]=>2
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[6,6]=>2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[6,6]=>2
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>[6,6]=>2
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>[6]=>1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>[5,5]=>2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>[7]=>1
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>[2,2]=>2
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>[12]=>1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>[2,2]=>2
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>[4,4]=>2
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>[2,2]=>2
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>[5]=>1
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>[2]=>1
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>[2]=>1
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[8]=>1
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>[5,5]=>2
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>[2,2]=>2
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,4,2,2]=>4
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>[8]=>1
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>[6,2,2]=>3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>[2,2,2,2]=>4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>[4,4,2,2]=>4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>[6,2,2]=>3
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[2,2,2,2]=>4
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[4,4,4]=>3
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>[12]=>1
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>[6]=>1
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[6]=>1
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>[6,2,2]=>3
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>[5,4]=>2
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[6,6]=>2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>[2,2,2,2]=>4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>[6,6]=>2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>[4,4,2,2]=>4
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>[10]=>1
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>[2,2]=>2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>[6]=>1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>[4,4]=>2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[6,6]=>2
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>[4,4,4]=>3
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>[5,5]=>2
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>[3,3]=>2
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>[12]=>1
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>[6,2,2]=>3
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>[3,2]=>2
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>[10,2]=>2
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>[4,3,3]=>3
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>[8,3]=>2
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>[5,3]=>2
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>[9,3]=>2
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>[5,4]=>2
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>[4]=>1
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>[4,4]=>2
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>[5,4]=>2
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>[4,4,3]=>3
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[8]=>1
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,5]=>2
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>[2]=>1
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>[5,5]=>2
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>[6]=>1
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>[4,4]=>2
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>[6]=>1
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>[5,4]=>2
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>[12]=>1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>[4,2]=>2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>[6,6]=>2
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[3,3,3]=>3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>[6]=>1
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>[9,3]=>2
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>[7]=>1
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>[8,3]=>2
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>[2,2]=>2
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[6,6]=>2
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>[12]=>1
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>[5,4]=>2
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>[8,3]=>2
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>[7]=>1
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>[5,4]=>2
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>[3,2]=>2
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[12]=>1
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,4]=>2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>[6]=>1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>[2,2]=>2
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>[2,2]=>2
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>[7]=>1
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,5]=>2
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[3,3]=>2
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,5]=>2
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>[3,3]=>2
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>[4,4,2,2]=>4
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,4,2,2]=>4
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>[5,5]=>2
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>[3]=>1
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>[5,5]=>2
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>[4,4]=>2
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>[7]=>1
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[6,2,2]=>3
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>[10,2]=>2
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>[3,2]=>2
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>[5,4]=>2
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>[11]=>1
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>[5,4]=>2
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>[4,4,3]=>3
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>[5]=>1
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,5]=>2
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>[3]=>1
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>[4,4,3]=>3
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[8]=>1
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[8]=>1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>[6,6]=>2
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>[5,3]=>2
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>[5,3]=>2
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>[8,3]=>2
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[12]=>1
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>[6]=>1
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[3,3,3]=>3
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>[6]=>1
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>[10]=>1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>[2,2]=>2
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>[3,2]=>2
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>[5,4]=>2
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>[9,3]=>2
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>[6]=>1
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>[8]=>1
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>[12]=>1
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>[5,5]=>2
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>[6]=>1
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>[4,4,4]=>3
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>[7]=>1
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>[2]=>1
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>[4]=>1
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>[5]=>1
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>[7]=>1
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[3,3,3]=>3
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>[4,3,3]=>3
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>[4,2]=>2
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>[5,4]=>2
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>[3]=>1
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>[11]=>1
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>[5,5]=>2
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>[9,3]=>2
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>[1]=>0
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>[3]=>1
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[4,4,4]=>3
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>[3]=>1
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>[4,2]=>2
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>[4,2]=>2
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>[8]=>1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>[2]=>1
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>[12]=>1
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>[4]=>1
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>[6]=>1
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>[2]=>1
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>[4]=>1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>[3,2]=>2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>[10,2]=>2
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10)=>[10,2]=>2
([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10)=>[10,2]=>2
([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11)=>[10,2]=>2
([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11)=>[10,2]=>2
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Description
The number of parts of a partition that are strictly bigger than the number of ones.
This is part of the definition of Dyson's crank of a partition, see St000474Dyson's crank of a partition..
This is part of the definition of Dyson's crank of a partition, see St000474Dyson's crank of a partition..
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promotion cycle type
Description
The cycle type of promotion on the linear extensions of a poset.
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