A361747 Lexicographically earliest sequence of distinct positive integers such that a(n) and a(n-1) share at least one identical trit at the same position in their balanced ternary representations.

1, 4, 2, 3, 6, 5, 7, 8, 9, 10, 11, 12, 13, 16, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 43, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67

Offset: 1

Author

Jodi Spitz, Mar 22 2023

Keywords

• base
• nonn

Comments

Conjecture: Suppose n is the x-th fixed point such that n-1 is not a fixed point. Then for all k such that n < k < (3^(x + 2) + 1)/2, k is also a fixed point.

Examples

			Table of initial terms (T is a digit of the value -1):
  n | a(n) |  BAL
 ---+------+-------
  1 |    1 |    1
  2 |    4 |   11
  3 |    2 |   1T
  4 |    3 |   10
  5 |    6 |  1T0
  6 |    5 |  1TT
  7 |    7 |  1T1
  8 |    8 |  10T
  9 |    9 |  100
 10 |   10 |  101
 11 |   11 |  11T
 12 |   12 |  110
 13 |   13 |  111
 14 |   16 | 1TT1
 15 |   14 | 1TTT
 16 |   15 | 1TT0
 17 |   17 | 1T0T
 18 |   18 | 1T00
 19 |   19 | 1T01
 20 |   20 | 1T1T