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A060140 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. 5

%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 Self-Generating Set and the Golden Mean</a>, J. Integer Sequences, 3 (2000), #00.2.8.

%H Clark Kimberling, <a href="https://www.fq.math.ca/Papers1/52-3/Kimberling11132013.pdf">Fusion, Fission, and Factors</a>, Fib. Q., 52 (2014), 195-202.

%Y Cf. A060138, A060142.

%K nonn

%O 0,3

%A _Clark Kimberling_, Mar 05 2001

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Last modified April 4 07:32 EDT 2020. Contains 333213 sequences. (Running on oeis4.)