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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. 5
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 (list; graph; refs; listen; history; text; internal format)
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

AUTHOR

Clark Kimberling, Mar 05 2001

EXTENSIONS

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

STATUS

approved

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Last modified March 30 09:08 EDT 2020. Contains 333125 sequences. (Running on oeis4.)