

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



0, 1, 3, 9, 10, 27, 28, 30, 81, 82, 84, 90, 91, 243, 244, 246, 252, 253, 270, 271, 273, 729, 730, 732, 738, 739, 756, 757, 759, 810, 811, 813, 819, 820, 2187, 2188, 2190, 2196, 2197, 2214, 2215, 2217, 2268, 2269, 2271, 2277, 2278, 2430, 2431, 2433, 2439
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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).


REFERENCES

C. Kimberling and P. Moses, Fusion, fission, and factors, The Fibonacci Quarterly 52 (2014), 136149.


LINKS

Ivan Neretin, Table of n, a(n) for n = 0..10000
C. Kimberling, A SelfGenerating Set and the Golden Mean, J. Integer Sequences, 3 (2000), #00.2.8.


CROSSREFS

Cf. A060138, A060142.
Sequence in context: A247519 A077560 A326003 * A025616 A305091 A282635
Adjacent sequences: A060137 A060138 A060139 * A060141 A060142 A060143


KEYWORD

nonn


AUTHOR

Clark Kimberling, Mar 05 2001


STATUS

approved



