Permutations of 7 elements have orders of 1, 2, 3, 4, 5, 6, 7, 10, 12, of which 7, 10, and 12 are not factors of any others.
easy,nonn,tabf,new
Permutations of 7 elements have orders of 1, 2, 3, 4, 5, 6, 7, 10, 12, of which 7, 10, and 12 are not factors of any others.
easy,nonn,tabf,new
Table read by rows: for each n: the orders of the permutations of n elements, excluding those that are a factor divisor of the order of another permutation of n elements.
easy,nonn,tabf,new
Table read by rows: for each n: the orders of the permutations of n elements, excluding those that are a factor of the order of another permutation of n elements.
1, 2, 2, 3, 3, 4, 4, 5, 6, 4, 5, 6, 7, 10, 12, 8, 10, 12, 15, 8, 9, 12, 14, 15, 20, 8, 9, 12, 14, 20, 21, 30
1,2
1: 1, 2: 2, 3: 2 3, 4: 3 4, 5: 4 5 6, 6: 4 5 6, 7: 7 10 12...
Permutations of 7 elements have orders of 1, 2, 3, 4, 5, 6, 7, 10, 12, of which 7, 10, and 12 are not factors of any others.
Cf. A000793.
easy,nonn,tabf
Allen Tracht (atracht(AT)ix.netcom.com), Dec 08 2005
approved