Maximal orbit size in the symmetric group partitioned by the upper records version of the Foata transform (i.e., a(n) is the maximum cycle length found in the corresponding permutations A065181-A065184 in range [0, n!-1]).

A065163

Maximal orbit size in the symmetric group partitioned by the upper records version of the Foata transform (i.e., a(n) is the maximum cycle length found in the corresponding permutations A065181-A065184 in range [0, n!-1]).

Terms

    a(0) =1a(1) =1a(2) =3a(3) =7a(4) =25a(5) =216a(6) =963a(7) =23435a(8) =92225a(9) =2729205a(10) =17313348a(11) =182553725a(12) =4235194171

External references