A355642 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the balanced ternary expansion of n * a(n) contains as many negative trits as positive trits.

0, 2, 1, 6, 4, 12, 3, 8, 7, 16, 13, 14, 5, 10, 11, 26, 9, 24, 23, 28, 20, 22, 21, 18, 17, 32, 15, 46, 19, 30, 29, 40, 25, 42, 34, 48, 36, 38, 37, 44, 31, 52, 33, 54, 39, 58, 27, 74, 35, 56, 55, 68, 41, 70, 43, 50, 49, 64, 45, 66, 60, 72, 63, 62, 57, 76, 59, 80

Offset

0,2

Comments

This sequence is a self-inverse permutation of the nonnegative integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..2187

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Example

The first terms, alongside the balanced ternary expansion of n * a(n), are:
  n   a(n)  bter(n*a(n))
  --  ----  ------------
   0     0             0
   1     2            1T
   2     1            1T
   3     6          1T00
   4     4          1TT1
   5    12         1T1T0
   6     3          1T00
   7     8         1T01T
   8     7         1T01T
   9    16        1TT100
  10    13        1TTT11
  11    14        1T0T01
  12     5         1T1T0

Prog

(PARI) See Links section.

Crossrefs

See A306993 for a similar sequence.

Cf. A065363, A174658, A355639.

Sequence in context: A257134 A121403 A155550 * A268754 A357639 A005299

Adjacent sequences: A355639 A355640 A355641 * A355643 A355644 A355645

Keyword

nonn,base

Author

Rémy Sigrist, Jul 11 2022

Status

approved