cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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].

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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