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A350285
a(n) is the least d > 0 such that A010060(n) = A010060(n - i*d) for i = 0..A350226(n)-1 (A010060 corresponds to the Thue-Morse sequence).
2
1, 1, 1, 3, 2, 2, 3, 3, 1, 3, 5, 3, 3, 6, 3, 3, 2, 7, 3, 6, 5, 5, 3, 3, 6, 3, 5, 9, 3, 6, 6, 3, 1, 3, 5, 7, 6, 6, 12, 3, 10, 10, 7, 7, 3, 9, 3, 3, 12, 7, 3, 6, 5, 10, 9, 17, 7, 6, 5, 9, 3, 12, 6, 9, 2, 7, 3, 15, 5, 5, 14, 14, 9, 12, 12, 12, 3, 19, 6, 3, 17, 20
OFFSET
0,4
LINKS
FORMULA
a(n) * (A350226(n) - 1) <= n.
EXAMPLE
For n = 21:
- A350226(21) = 3,
- the first 22 terms of A010060 are:
0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1
* * *
* * *
* * *
- A010060(11) = A010060(16) = A010060(21),
- A010060(7) = A010060(14) = A010060(21),
- A010060(1) = A010060(11) = A010060(21),
- the first differences are 5, 7 and 10,
- the least first difference is 5,
- so a(21) = 5.
PROG
(C) See Links section.
CROSSREFS
Sequence in context: A294299 A125504 A243929 * A347381 A075392 A069901
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Dec 23 2021
STATUS
approved