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A054591 Denominators of rational numbers that belong to the Cantor set. 6
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

David Radcliffe, Table of n, a(n) for n = 1..321

D. Jordan and R. Schayer Rational points on the Cantor middle thirds set [Broken link corrected by Rainer Rosenthal, Feb 20 2009]

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

Adjacent sequences:  A054588 A054589 A054590 * A054592 A054593 A054594

KEYWORD

nonn

AUTHOR

Michael J. Hardy, Apr 14 2000

STATUS

approved

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Last modified October 15 09:37 EDT 2018. Contains 316211 sequences. (Running on oeis4.)