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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
OFFSET
1,2
COMMENTS
This sequence is a self-inverse permutation of the natural numbers.
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
Sequence in context: A367870 A223540 A364138 * A349239 A176077 A332778
KEYWORD
nonn,look,base
AUTHOR
Rémy Sigrist, Mar 14 2018
STATUS
approved