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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
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 (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

Ivan Neretin, Table of n, a(n) for n = 0..10000

C. Kimberling, A Self-Generating 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

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Last modified November 12 17:06 EST 2019. Contains 329058 sequences. (Running on oeis4.)