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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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).

REFERENCES

C. Kimberling and P. Moses, Fusion, fission, and factors, The Fibonacci Quarterly 52 (2014), 136-149.

LINKS

Table of n, a(n) for n=0..50.

C. Kimberling, A Self-Generating Set and the Golden Mean, J. Integer Sequences, 3 (2000), #00.2.8.

CROSSREFS

Cf. A060138, A060139, A060140, A060142.

Sequence in context: A032665 A032915 A019080 * A107757 A191180 A191128

Adjacent sequences:  A060138 A060139 A060140 * A060142 A060143 A060144

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 05 2001

STATUS

approved

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Last modified September 23 15:54 EDT 2017. Contains 292361 sequences.