A054591 Denominators of rational numbers that belong to the Cantor set.
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
Offset: 1
Examples
10 belongs to the sequence because 1/10 = 0.00220022... (base 3) is in the Cantor set. - _David Radcliffe_, May 02 2015
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, 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.
Crossrefs
Reminiscent of (but different from) A005836.