A350600 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).

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, 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, 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

Offset

1,1

Links

Ibai Aedo, Table of n, a(n) for n = 1..2048

Ibai Aedo, Uwe Grimm, Yasushi Nagai, and Petra Staynova, On long arithmetic progressions in binary Morse-like words, arXiv:2101.02056 [math.CO], 2021.

Olga Parshina, On arithmetic index in the generalized Thue-Morse word, arXiv:1811.03884 [math.CO], 2018.

Formula

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

Crossrefs

Cf. A010060. A342818, A342827.

Sequence in context: A190191 A189920 A318963 * A295896 A176918 A176890

Adjacent sequences: A350597 A350598 A350599 * A350601 A350602 A350603

Keyword

nonn

Author

Ibai Aedo, Jan 08 2022

Status

approved