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A054591 Denominators of rational numbers that belong to the Cantor set. 10
1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 36, 39, 40, 81, 82, 84, 90, 91, 108, 117, 120, 121, 146, 182, 205, 243, 244, 246, 252, 270, 273, 324, 328, 351, 360, 363, 364, 386, 438, 546, 615, 656, 671, 729, 730, 732, 738, 756, 757, 810, 819, 820, 949, 972, 984 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
D. Jordan and R. Schayer, Rational points on the Cantor middle thirds set, Penn State, REU 2003.
J. Nagy, Rational Points in Cantor Sets, Fibonacci Quarterly 39.3, (2001), 238-241.
C. Wall, Terminating Decimals in the Cantor Ternary Set, Fibonacci Quarterly 28.2 (1990), 98-101.
EXAMPLE
10 belongs to the sequence because 1/10 = 0.00220022... (base 3) is in the Cantor set. - David Radcliffe, May 02 2015
CROSSREFS
Reminiscent of (but different from) A005836.
Sequence in context: A010400 A010439 A005836 * A121153 A276986 A283984
KEYWORD
nonn,frac
AUTHOR
Michael J. Hardy, Apr 14 2000
STATUS
approved

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Last modified August 29 15:03 EDT 2024. Contains 375517 sequences. (Running on oeis4.)