login
A306874
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 zeros.
1
1, 4, 2, 6, 8, 3, 9, 5, 12, 10, 11, 16, 7, 17, 13, 20, 14, 18, 19, 21, 22, 23, 32, 15, 33, 24, 25, 26, 27, 34, 28, 29, 36, 30, 38, 35, 37, 39, 40, 47, 41, 46, 43, 44, 48, 45, 42, 49, 50, 51, 52, 55, 53, 54, 56, 57, 58, 59, 64, 31, 65, 60, 61, 68, 62, 66, 67
OFFSET
1,2
COMMENTS
This sequence is a variant of A306869.
LINKS
FORMULA
A087116(a(n) OR a(n+1)) = 1.
EXAMPLE
The first terms, alongside the binary representation of a(n) OR a(n+1), are:
n a(n) bin(a(n) OR a(n+1))
-- ---- -------------------
1 1 101
2 4 110
3 2 110
4 6 1110
5 8 1011
6 3 1011
7 9 1101
8 5 1101
9 12 1110
10 10 1011
11 11 11011
12 16 10111
13 7 10111
14 17 11101
15 13 11101
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A105365 A077157 A268718 * A114478 A367882 A330530
KEYWORD
nonn,base,look
AUTHOR
Rémy Sigrist, Mar 14 2019
STATUS
approved