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A258076 a(0)=1, a(1)=2; for n>=2, a(n) = smallest number not already used which shares a factor with a(n-1) if T(n-1)=T(n), and otherwise is relatively prime to a(n-1), where {T(n)} is Thue-Morse sequence (A010060). 2
1, 2, 4, 3, 5, 6, 8, 7, 14, 9, 12, 11, 10, 13, 26, 15, 16, 17, 34, 19, 18, 23, 46, 21, 24, 25, 20, 27, 22, 29, 58, 31, 62, 33, 30, 37, 28, 39, 36, 35, 40, 41, 82, 43, 32, 45, 42, 47, 38, 49, 56, 51, 44, 53, 106, 55, 50, 57, 48, 59, 52, 61, 122, 63, 64, 65, 60 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

An analog of A098550 involving Thue-Morse sequence.

Conjecture: the sequence is a permutation of the positive integers.

Conjecture: the primes appear in the natural order.

LINKS

Peter J. C. Moses, Table of n, a(n) for n = 0..4999

CROSSREFS

Cf. A010060, A098550, A258078.

Sequence in context: A083194 A105366 A077156 * A244724 A132948 A102569

Adjacent sequences:  A258073 A258074 A258075 * A258077 A258078 A258079

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, May 19 2015

EXTENSIONS

More terms from Peter J. C. Moses, May 19 2015

STATUS

approved

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Last modified April 21 07:53 EDT 2019. Contains 322327 sequences. (Running on oeis4.)