A060139 - OEIS

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.

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 * A373799 A266899 A112265