A371267 Lexicographically latest sequence of distinct nonnegative integers such that the run lengths transforms of the balanced ternary expansions of n and of a(n) are the same.

0, 1, 3, 2, 4, 9, 10, 8, 7, 5, 6, 12, 11, 13, 27, 28, 26, 30, 31, 29, 25, 24, 23, 22, 21, 20, 16, 14, 15, 19, 17, 18, 36, 37, 35, 34, 32, 33, 39, 38, 40, 81, 82, 80, 84, 85, 83, 79, 78, 77, 90, 91, 89, 93, 94, 92, 88, 87, 86, 76, 75, 74, 73, 72, 71, 70, 69, 68

Offset

0,3

Comments

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

Links

Rémy Sigrist, Table of n, a(n) for n = 0..9841

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Formula

A371263(a(n)) = A371263(n).

a(n) = n iff n belongs to A003462.

Example

The first terms, in decimal and in balanced ternary, are:
  n   a(n)  bter(n)  bter(a(n))
  --  ----  -------  ----------
   0     0        0           0
   1     1        1           1
   2     3       1T          10
   3     2       10          1T
   4     4       11          11
   5     9      1TT         100
   6    10      1T0         101
   7     8      1T1         10T
   8     7      10T         1T1
   9     5      100         1TT
  10     6      101         1T0
  11    12      11T         110
  12    11      110         11T
  13    13      111         111
  14    27     1TTT        1000
  15    28     1TT0        1001

Prog

(PARI) \\ See Links section.

Crossrefs

See A371261 for a similar sequence.

Cf. A003462 (fixed points), A371263.

Sequence in context: A338243 A338246 A368225 * A374726 A084793 A033820

Adjacent sequences: A371264 A371265 A371266 * A371268 A371269 A371270

Keyword

nonn,base

Author

Rémy Sigrist, Mar 16 2024

Status

approved