%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