

A060141


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+2 are in S.


2



0, 1, 3, 9, 11, 27, 29, 33, 81, 83, 87, 99, 101, 243, 245, 249, 261, 263, 297, 299, 303, 729, 731, 735, 747, 749, 783, 785, 789, 891, 893, 897, 909, 911, 2187, 2189, 2193, 2205, 2207, 2241, 2243, 2247, 2349, 2351, 2355, 2367, 2369, 2673, 2675, 2679, 2691
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OFFSET

0,3


COMMENTS

The numbers of the form 9x+1 occupy the same positions in S that 1 occupies in the infinite Fibonacci word (A003849).


LINKS

Ivan Neretin, Table of n, a(n) for n = 0..10000
Clark Kimberling, A SelfGenerating Set and the Golden Mean, J. Integer Sequences, 3 (2000), #00.2.8.
Clark Kimberling, Fusion, Fission, and Factors, Fib. Q., 52 (2014), 195202.


CROSSREFS

Cf. A060138, A060139, A060140, A060142.
Sequence in context: A331832 A032915 A019080 * A107757 A191180 A191128
Adjacent sequences: A060138 A060139 A060140 * A060142 A060143 A060144


KEYWORD

nonn


AUTHOR

Clark Kimberling, Mar 05 2001


STATUS

approved



