A060138 Ordered set S defined by these rules: 0 and 2 are in S and if x is a nonzero number in S, then 2x-1 and 4x are in S.

0, 2, 3, 5, 8, 9, 12, 15, 17, 20, 23, 29, 32, 33, 36, 39, 45, 48, 57, 60, 63, 65, 68, 71, 77, 80, 89, 92, 95, 113, 116, 119, 125, 128, 129, 132, 135, 141, 144, 153, 156, 159, 177, 180, 183, 189, 192, 225, 228, 231, 237, 240, 249, 252, 255, 257, 260, 263, 269, 272, 281

Offset: 0

Author

Clark Kimberling, Mar 05 2001

Keywords

• nonn

Comments

The numbers 2 and 4x 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. A060142.

Extensions

Missing term a(55)=257 added by Ivan Neretin, Jun 19 2018