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

0,2

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.

Sequence in context: A025033 A122933 A091513 * A139487 A162586 A232868

Adjacent sequences: A060135 A060136 A060137 * A060139 A060140 A060141

Keyword

nonn,changed

Author

Clark Kimberling, Mar 05 2001

Extensions

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

Status

approved