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A306869 Lexicographically earliest sequence of distinct positive terms such that the binary representation of the bitwise-OR of two consecutive terms has exactly one run of consecutive ones. 2
1, 2, 3, 4, 6, 5, 7, 8, 12, 10, 13, 11, 14, 9, 15, 16, 24, 20, 26, 21, 27, 22, 25, 23, 28, 18, 29, 19, 30, 17, 31, 32, 48, 40, 52, 42, 53, 43, 54, 41, 55, 44, 50, 45, 51, 46, 49, 47, 56, 36, 58, 37, 59, 38, 57, 39, 60, 34, 61, 35, 62, 33, 63, 64, 96, 80, 104 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This sequence has similarities with A175343; in both sequences, the binary representation of the bitwise OR of two consecutive terms has exactly one run of consecutive ones.
LINKS
FORMULA
A069010(a(n) OR a(n+1)) = 1.
EXAMPLE
The first terms, alongside the binary representation of a(n) OR a(n+1), are:
a a(n) bin(a(n) OR a(n+1))
-- ---- -------------------
1 1 11
2 2 11
3 3 111
4 4 110
5 6 111
6 5 111
7 7 1111
8 8 1100
9 12 1110
10 10 1111
11 13 1111
12 11 1111
13 14 1111
14 9 1111
15 15 11111
16 16 11000
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A367307 A139706 A333777 * A139708 A333776 A305410
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Mar 14 2019
STATUS
approved

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Last modified June 12 12:13 EDT 2024. Contains 373331 sequences. (Running on oeis4.)