A321525 Left-rotate nonzero digits in ternary expansion of n and convert back to decimal.

0, 1, 2, 3, 4, 7, 6, 5, 8, 9, 10, 19, 12, 13, 16, 21, 22, 25, 18, 11, 20, 15, 14, 17, 24, 23, 26, 27, 28, 55, 30, 31, 34, 57, 58, 61, 36, 37, 46, 39, 40, 43, 48, 49, 52, 63, 64, 73, 66, 67, 70, 75, 76, 79, 54, 29, 56, 33, 32, 35, 60, 59, 62, 45, 38, 47, 42, 41

Offset

0,3

Comments

This sequence is a permutation of the nonnegative integers with inverse A321524.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..6561

Index entries for sequences that are permutations of the natural numbers

Formula

a(3 * n) = 3 * a(n).

Example

The first terms, alongside the corresponding ternary representations, are:
  n   a(n)  ter(n)  ter(a(n))
  --  ----  ------  ---------
   0     0       0          0
   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    10     101        101
  11    19     102        201
  12    12     110        110
  13    13     111        111
  14    16     112        121
  15    21     120        210
  16    22     121        211
  17    25     122        221

Prog

(PARI) a(n, base=3) = my (d=digits(n, base), t=select(sign, d), i=0); for (j=1, #d, if (d[j], d[j]=t[1+(i++%#t)])); fromdigits(d, base)

Crossrefs

Cf. A321464, A321524 (inverse).

Sequence in context: A055265 A117922 A266643 * A321524 A321464 A263273

Adjacent sequences: A321522 A321523 A321524 * A321526 A321527 A321528

Keyword

nonn,base

Author

Rémy Sigrist, Nov 13 2018

Status

approved