A331275 a(n) is the greatest ternary anagram of n not yet in the sequence.

1, 2, 3, 4, 7, 6, 5, 8, 9, 12, 21, 10, 13, 22, 19, 16, 25, 18, 15, 24, 11, 14, 23, 20, 17, 26, 27, 36, 63, 30, 39, 66, 57, 64, 75, 28, 37, 58, 31, 40, 67, 48, 49, 76, 55, 46, 73, 42, 43, 70, 69, 68, 79, 54, 45, 72, 33, 38, 65, 60, 61, 78, 29, 34, 59, 32, 41

Offset

1,2

Comments

Leading zeros are ignored.

This sequence is a self-inverse permutation of the natural numbers.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..6561

Rémy Sigrist, PARI program for A331275

Index entries for sequences that are permutations of the natural numbers

Example

The first terms, in decimal and in ternary, are:
  n   a(n)  ter(n)  ter(a(n))
  --  ----  ------  ---------
   1     1       1          1
   2     2       2          2
   3     3      10         10
   4     4      11         11
   5     7      12         21
   6     6      20         20
   7     5      21         12
   8     8      22         22
   9     9     100        100
  10    12     101        110
  11    21     102        210
  12    10     110        101
  13    13     111        111
  14    22     112        211
  15    19     120        201

Prog

(PARI) See Links section.

Crossrefs

Cf. A331274 (binary analog).

Sequence in context: A092842 A343600 A343601 * A072028 A269377 A072026

Adjacent sequences: A331272 A331273 A331274 * A331276 A331277 A331278

Keyword

nonn,base

Author

Rémy Sigrist, Jan 13 2020

Status

approved