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 A060169 #10 Jan 05 2025 19:51:36
%S A060169 1,0,0,1,0,1,1,0,2,1,2,2,2,4,4,5,8,6,12,13,16,23,26,35,46,54,76,89,
%T A060169 120,154,192,255,322,411,544,679,898,1145,1476,1925,2466,3201,4156,
%U A060169 5338,6978,8985
%N A060169 Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945.
%C A060169 The sequence A001945 records 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 A060169 Manfred Einsiedler, Graham Everest and Thomas Ward, <a href="https://doi.org/10.1112/S1461157000000255">Primes in sequences associated to polynomials (after Lehmer)</a>, LMS J. Comput. Math. 3 (2000), 125-139.
%H A060169 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 A060169 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 A060169 a(n) = (1/n)* Sum_{ d divides n } mu(d)*A001945(n/d).
%e A060169 u(17) = 8 since the map whose periodic points are counted by A001945 has 1 fixed point and 137 points of period 17, hence 8 orbits of length 7.
%Y A060169 Cf. A001642, A060164, A060165, A060166, A060167, A060168, A060170, A060171, A060171, A060172, A060173.
%K A060169 easy,nonn
%O A060169 1,9
%A A060169 _Thomas Ward_, Mar 13 2001