A304881 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, the 3-adic valuation of a(n) equals the 2-adic valuation of a(n+1).

1, 3, 2, 5, 7, 9, 4, 11, 13, 15, 6, 10, 17, 19, 21, 14, 23, 25, 27, 8, 29, 31, 33, 18, 12, 22, 35, 37, 39, 26, 41, 43, 45, 20, 47, 49, 51, 30, 34, 53, 55, 57, 38, 59, 61, 63, 28, 65, 67, 69, 42, 46, 71, 73, 75, 50, 77, 79, 81, 16, 83, 85, 87, 54, 24, 58, 89

Offset

1,2

Comments

See A298196 for a similar sequence and additional comments.

This sequence is a permutation of the natural number, with inverse A304882.

The only known fixed point is a(1) = 1.

Links

Table of n, a(n) for n=1..67.

Rémy Sigrist, Colored scatterplot of the first 100000 terms (where the color is function of A007814(a(n)))

Index entries for sequences that are permutations of the natural numbers

Example

The first terms, alongside their 2-adic and 3-adic valuations, are:
  n    a(n)    v2   v3
  --   ----    --   --
   1      1     0    0
   2      3     0    1
   3      2     1    0
   4      5     0    0
   5      7     0    0
   6      9     0    2
   7      4     2    0
   8     11     0    0
   9     13     0    0
  10     15     0    1
  11      6     1    1
  12     10     1    0
  13     17     0    0
  14     19     0    0
  15     21     0    1
  16     14     1    0
  17     23     0    0
  18     25     0    0
  19     27     0    3
  20      8     3    0

Crossrefs

Cf. A007814, A298196, A304882 (inverse).

Sequence in context: A151749 A175911 A337405 * A266635 A110338 A371221

Adjacent sequences: A304878 A304879 A304880 * A304882 A304883 A304884

Keyword

nonn

Author

Rémy Sigrist, May 20 2018

Status

approved