The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344184 Lexicographically earliest sequence of positive integers such that for any n > 0, the binary expansion of a(n) contains the binary expansion of k for k = 1..n and the binary expansion of a(n+1) is obtained by replacing a possibly empty substring of the binary expansion of a(n) by the binary expansion of n+1. 1
1, 2, 6, 12, 44, 44, 92, 184, 1208, 1336, 5304, 5304, 10680, 10680, 21368, 42736, 567024, 673520, 5383920, 5383920, 21535472, 172283632, 172283632, 172283632, 344774384, 344774384, 344774384, 344774384, 689559280, 689559280, 1379118576, 2758237152, 71477713888 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This sequence is a variant of A056744, easier to compute.
This sequence is not weakly increasing; a(109) < a(108).
LINKS
FORMULA
A144016(a(n)) >= n.
EXAMPLE
The first terms, alongside their binary expansion, are:
n a(n) bin(n) bin(a(n))
-- ----- ------ ---------------
1 1 1 1
2 2 10 10
3 6 11 110
4 12 100 1100
5 44 101 101100
6 44 110 101100
7 92 111 1011100
8 184 1000 10111000
9 1208 1001 10010111000
10 1336 1010 10100111000
11 5304 1011 1010010111000
12 5304 1100 1010010111000
13 10680 1101 10100110111000
14 10680 1110 10100110111000
15 21368 1111 101001101111000
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A178008 A266005 A056744 * A164859 A332868 A261467
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, May 11 2021
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 14 04:49 EDT 2024. Contains 373393 sequences. (Running on oeis4.)