A300868 - OEIS

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A300868

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

2

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

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

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

EXAMPLE

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

PROG

(C++) See Links section.

CROSSREFS

Cf. A003714, A070939.

Sequence in context: A367870 A223540 A364138 * A349239 A176077 A332778

Adjacent sequences: A300865 A300866 A300867 * A300869 A300870 A300871

KEYWORD

nonn,look,base

AUTHOR

Rémy Sigrist, Mar 14 2018

STATUS

approved