

A306869


Lexicographically earliest sequence of distinct positive terms such that the binary representation of the bitwiseOR 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
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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



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



KEYWORD

nonn,base


AUTHOR



STATUS

approved



