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.
%I A060171 #13 Jan 05 2025 19:51:36
%S A060171 12,54,80,30,24,5400,0,990,1568,636,24,2720,0,240,5704,510,0,3835776,
%T A060171 0,26724,3600,108,24,89760,0,240,1064,120,24,113569300,0,510,11752,0,
%U A060171 264,278281640
%N A060171 Number of orbits of length n under a map whose periodic points seem to be counted by A006953.
%C A060171 The sequence A006953 seems to record the number of points of period n under a map. The number of orbits of length n for this map gives the sequence above.
%H A060171 Y. Puri and T. Ward, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL4/WARD/short.html">Arithmetic and growth of periodic orbits</a>, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
%H A060171 Yash Puri and Thomas Ward, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/39-5/puri.pdf">A dynamical property unique to the Lucas sequence</a>, Fibonacci Quarterly, Volume 39, Number 5 (November 2001), pp. 398-402.
%F A060171 a(n) = (1/n)* Sum_{d|n} mu(d)*A006953(n/d).
%e A060171 u(3) = 80 since a map whose periodic points are counted by A006953 has 12 fixed points and 252 points of period 3, hence 80 orbits of length 3.
%o A060171 (PARI) a(n) = sumdiv(n, d, moebius(d)*denominator(bernfrac(2*n/d)/(2*n/d)))/n; \\ _Michel Marcus_, Sep 10 2017
%Y A060171 Cf. A006953, A060164, A060165, A060166, A060167, A060168, A060169, A060170, A060172, A060173.
%K A060171 easy,nonn
%O A060171 1,1
%A A060171 _Thomas Ward_, Mar 13 2001