A350600 - OEIS

%I #27 Jan 22 2023 08:43:59

%S 1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,

%T 0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,

%U 0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1

%N Color of the first occurrence of a monochromatic arithmetic progression of difference n and length b(n) in the Thue-Morse sequence (A010060), where b(n) = A342818(n).

%H Ibai Aedo, <a href="/A350600/b350600.txt">Table of n, a(n) for n = 1..2048</a>

%H 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 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.

%F a(n) = A010060(A342827(n)).

%Y Cf. A010060. A342818, A342827.

%K nonn

%O 1,1

%A _Ibai Aedo_, Jan 08 2022