A258076 - OEIS

%I #17 Jun 06 2015 08:26:56

%S 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,

%T 20,27,22,29,58,31,62,33,30,37,28,39,36,35,40,41,82,43,32,45,42,47,38,

%U 49,56,51,44,53,106,55,50,57,48,59,52,61,122,63,64,65,60

%N 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).

%C An analog of A098550 involving Thue-Morse sequence.

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

%C Conjecture: the primes appear in the natural order.

%H Peter J. C. Moses, <a href="/A258076/b258076.txt">Table of n, a(n) for n = 0..4999</a>

%Y Cf. A010060, A098550, A258078.

%K nonn

%O 0,2

%A _Vladimir Shevelev_, May 19 2015

%E More terms from _Peter J. C. Moses_, May 19 2015