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A333010
Lexicographically earliest sequence of distinct positive integers such that the concatenation of the binary representations of the odd-indexed terms equals the concatenation of the binary representations of the even-indexed terms.
2
1, 3, 6, 2, 4, 9, 7, 14, 5, 12, 18, 10, 11, 15, 28, 19, 29, 22, 20, 36, 37, 23, 30, 13, 24, 8, 16, 33, 25, 38, 21, 44, 39, 31, 56, 17, 26, 42, 40, 34, 41, 76, 72, 35, 57, 77, 45, 46, 27, 58, 43, 59, 47, 60, 50, 80, 66, 81, 70, 82, 74, 83, 78, 84, 164, 73, 79
OFFSET
1,2
COMMENTS
In other words, the first and second bisections have the same binary digits.
This sequence is a binary variant of A329127.
LINKS
EXAMPLE
The first terms, alongside their binary representation, are:
n a(n) bin(a(n))
-- ---- -----------------------------
1 1 1
2 3 11
3 6 110
4 2 10
5 4 100
6 9 1001
7 7 111
8 14 1110
9 5 101
10 12 1100
11 18 10010
12 10 1010
13 11 1011
14 15 1111
15 28 11100
16 19 10011
PROG
(PARI) See Links section.
CROSSREFS
Cf. A329127.
Sequence in context: A200474 A154858 A169837 * A319513 A160590 A111952
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Mar 05 2020
STATUS
approved