A300868 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, n * a(n) is a Fibbinary number (A003714).

1, 2, 3, 4, 8, 6, 12, 5, 9, 13, 15, 7, 10, 19, 11, 16, 17, 18, 14, 26, 32, 24, 23, 22, 41, 20, 38, 39, 36, 43, 44, 21, 33, 34, 59, 29, 64, 27, 28, 52, 25, 49, 30, 31, 53, 46, 47, 48, 42, 82, 51, 40, 45, 76, 96, 78, 72, 73, 35, 71, 84, 75, 86, 37, 65, 66, 70

Offset: 1

Author

Rémy Sigrist, Mar 14 2018

Keywords

• nonn
• look
• base

Comments

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

Examples

			The first terms, alongside the binary representation of n * a(n), are:
  n  a(n)    binary(n * a(n))
  -- ----    ----------------
   1    1             1
   2    2           100
   3    3          1001
   4    4         10000
   5    8        101000
   6    6        100100
   7   12       1010100
   8    5        101000
   9    9       1010001
  10   13      10000010
  11   15      10100101
  12    7       1010100
  13   10      10000010
  14   19     100001010
  15   11      10100101
  16   16     100000000
  17   17     100100001
  18   18     101000100
  19   14     100001010
  20   26    1000001000
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Index entries for sequences that are permutations of the natural numbers
• Rémy Sigrist, Colored logarithmic scatterplot of the first 2^15 terms (where the color is function of A070939(n * a(n)))
• Rémy Sigrist, C++ program for A300868

Crossrefs

Cf. A003714, A070939.