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%I A065161 #8 Aug 19 2023 20:51:29
%S A065161 1,2,4,10,24,60,138,336,820,2114,5340,14136
%N A065161 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 A065161 Counted with the Maple procedure FoataPermutationCycleCounts_Lengths_and_LCM given in A065163.
%Y A065161 Cf. A065162, A065163.
%K A065161 nonn,more
%O A065161 1,2
%A A065161 _Antti Karttunen_, Oct 19 2001
%E A065161 a(9)-a(12) from _Sean A. Irvine_, Aug 19 2023

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