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 A060139 Ordered set S defined by these rules: 0 and 1 are in S and if x is a nonzero number in S, then 3x-1 and 9x are in S. 3

%I

%S 0,1,2,5,9,14,18,26,41,45,53,77,81,122,126,134,158,162,230,234,242,

%T 365,369,377,401,405,473,477,485,689,693,701,725,729,1094,1098,1106,

%U 1130,1134,1202,1206,1214,1418,1422,1430,1454,1458,2066,2070,2078,2102,2106

%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-1 and 9x are in S.

%C The numbers 1 and 9x occupy same positions in S that 1 occupies in the infinite Fibonacci word (A003849).

%H Ivan Neretin, <a href="/A060139/b060139.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 June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)