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Number of orbits into which the Foata transform partitions the symmetric group Sn, i.e., a(n) is the number of cycles in the permutations A065181 - A065184 found in range [0,n!-1].
8

%I #8 Aug 19 2023 20:51:29

%S 1,2,4,10,24,60,138,336,820,2114,5340,14136

%N Number of orbits into which the Foata transform partitions the symmetric group Sn, i.e., a(n) is the number of cycles in the permutations A065181 - A065184 found in range [0,n!-1].

%C Counted with the Maple procedure FoataPermutationCycleCounts_Lengths_and_LCM given in A065163.

%Y Cf. A065162, A065163.

%K nonn,more

%O 1,2

%A _Antti Karttunen_, Oct 19 2001

%E a(9)-a(12) from _Sean A. Irvine_, Aug 19 2023