%I
%S 0,1,3,9,10,27,28,30,81,82,84,90,91,243,244,246,252,253,270,271,273,
%T 729,730,732,738,739,756,757,759,810,811,813,819,820,2187,2188,2190,
%U 2196,2197,2214,2215,2217,2268,2269,2271,2277,2278,2430,2431,2433,2439
%N Ordered set S defined by these rules: 0 and 1 are in S and if x is a nonzero number in S, then 3x and 9x+1 are in S.
%C The numbers of the form 9x+1 occupy the same positions in S that 1 occupies in the infinite Fibonacci word (A003849).
%H Ivan Neretin, <a href="/A060140/b060140.txt">Table of n, a(n) for n = 0..10000</a>
%H Clark Kimberling, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/goldentext.html">A SelfGenerating Set and the Golden Mean</a>, J. Integer Sequences, 3 (2000), #00.2.8.
%H Clark Kimberling, <a href="https://www.fq.math.ca/Papers1/523/Kimberling11132013.pdf">Fusion, Fission, and Factors</a>, Fib. Q., 52 (2014), 195202.
%Y Cf. A060138, A060142.
%K nonn
%O 0,3
%A _Clark Kimberling_, Mar 05 2001
