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 A309894 #24 Oct 23 2019 14:10:40 %S A309894 1,2,2,4,2,4,6,0,4,4,4,4,12,0,4,4,8,4,8,0,8,4,4,8,24,0,4,4,8,4,8,4,16, %T A309894 4,4,4,16,0,4,8,16,4,12,0,8,8,8,16,48,0,4,4,8,4,8,4,16,4,8,4,16,4,8, %U A309894 12,32,4,8,0,8,4,4,12,32,0,8,4,8,8,12,8,32 %N A309894 Number of unbordered factors of length n in the Thue-Morse sequence A010060. %C A309894 a(n) <= n for n >= 4 with a(n) = n infinitely often. %C A309894 This sequence is 2-regular. %H A309894 Gabriel F. Lipnik, <a href="/A309894/b309894.txt">Table of n, a(n) for n = 0..99999</a> %H A309894 D. Goč, H. Mousavi and J. Shallit, <a href="https://arxiv.org/abs/1211.1301">On the number of unbordered factors</a>, arXiv:1211.1301 [cs.FL], 2012. %H A309894 D. Goč, H. Mousavi and J. Shallit, <a href="https://doi.org/10.1007/978-3-642-37064-9_27">On the number of unbordered factors</a>, Language and automata theory and applications, Springer, 2013, 299-310. %e A309894 For n = 3 the a(3) = 4 unbordered factors of length 3 in A010060 are 001, 011, 100 and 110. %Y A309894 Cf. A010060. %K A309894 nonn %O A309894 0,2 %A A309894 _Gabriel F. Lipnik_, Aug 21 2019