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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
0, 1, 2, 5, 9, 14, 18, 26, 41, 45, 53, 77, 81, 122, 126, 134, 158, 162, 230, 234, 242, 365, 369, 377, 401, 405, 473, 477, 485, 689, 693, 701, 725, 729, 1094, 1098, 1106, 1130, 1134, 1202, 1206, 1214, 1418, 1422, 1430, 1454, 1458, 2066, 2070, 2078, 2102, 2106 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The numbers 1 and 9x occupy 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 Self-Generating Set and the Golden Mean, J. Integer Sequences, 3 (2000), #00.2.8.

Clark Kimberling, Fusion, Fission, and Factors, Fib. Q., 52 (2014), 195-202.

CROSSREFS

Cf. A060138, A060142.

Sequence in context: A074793 A161767 A235333 * A266899 A112265 A025281

Adjacent sequences:  A060136 A060137 A060138 * A060140 A060141 A060142

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 05 2001

STATUS

approved

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Last modified April 9 03:15 EDT 2020. Contains 333343 sequences. (Running on oeis4.)