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 A342827 #22 Jan 18 2025 18:25:14 %S A342827 1,2,45,4,43,90,7,8,183,86,12,180,27,14,753,16,751,366,20,172,370,24, %T A342827 166,360,37,54,48,28,35,1506,31,32,3039,1502,36,732,94,40,205,344,56, %U A342827 740,725,48,663,332,326,720,321,74,137,108,60,96,617,56,378,70,101 %N A342827 Starting position of the first occurrence of the longest monochromatic arithmetic progression of difference d in the Thue-Morse sequence (A010060). %C A342827 The length of this longest progression is A342818(n). %H A342827 Ibai Aedo, <a href="/A342827/b342827.txt">Table of n, a(n) for n = 1..2048</a> %H A342827 Ibai Aedo, Uwe Grimm, Yasushi Nagai, and Petra Staynova, <a href="https://arxiv.org/abs/2101.02056">On long arithmetic progressions in binary Morse-like words</a>, arXiv:2101.02056 [math.CO], 2021. %H A342827 Gandhar Joshi and Dan Rust, <a href="https://arxiv.org/abs/2501.05830">Monochromatic arithmetic progressions in the Fibonacci word</a>, arXiv:2501.05830 [math.DS], 2025. See p. 7. %H A342827 Olga Parshina, <a href="https://arxiv.org/abs/1811.03884">On arithmetic index in the generalized Thue-Morse word</a>, arXiv:1811.03884 [math.CO], 2018. %e A342827 For example, the smallest i with t(i)=t(i+3)=t(i+6)=t(i+9)=t(i+12)=t(i+15)=t(i+18)=t(i+21) is i=45 and so, a(3)=45. %Y A342827 Cf. A010060, A342818. %K A342827 nonn %O A342827 1,2 %A A342827 _Jeffrey Shallit_, Mar 23 2021