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.

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

Offset: 0

Author

Clark Kimberling, Mar 05 2001

Keywords

• nonn

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 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, A060139, A060140, A060142.