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!)
A352812 Lexicographically earliest sequence of distinct nonnegative integers such that for any n and k coprime the binary expansions of a(n) and a(k) have no common 1's. 1
0, 1, 2, 4, 8, 3, 16, 5, 32, 9, 64, 6, 128, 17, 10, 256, 512, 7, 1024, 12, 18, 65, 2048, 33, 4096, 129, 34, 20, 8192, 11, 16384, 257, 66, 260, 24, 35, 32768, 261, 130, 13, 65536, 19, 131072, 68, 40, 2049, 262144, 36, 524288, 264, 514, 132, 1048576, 37, 72, 21 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The n-th row of A038566 gives the k's to consider when computing a(n).

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, Colored logarithmic scatterplot of the first 10000 terms (where the color is function of A052126(n))

Rémy Sigrist, PARI program

EXAMPLE

The first terms, alongside their binary expansion, the corresponding k's and the implied forbidden bits, are:

  n   a(n)  bin(a(n))  k's                              bin(forbidden)

  --  ----  ---------  -------------------------------  --------------

   1     0          0  {1}                                           0

   2     1          1  {1}                                           0

   3     2         10  {1, 2}                                        1

   4     4        100  {1, 3}                                       10

   5     8       1000  {1, 2, 3, 4}                                111

   6     3         11  {1, 5}                                     1000

   7    16      10000  {1, 2, 3, 4, 5, 6}                         1111

   8     5        101  {1, 3, 5, 7}                              11010

   9    32     100000  {1, 2, 4, 5, 7, 8}                        11101

  10     9       1001  {1, 3, 7, 9}                             110010

  11    64    1000000  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}          111111

  12     6        110  {1, 5, 7, 11}                           1011000

PROG

(PARI) See Links section.

CROSSREFS

Cf. A038566, A052126, A352809.

Sequence in context: A109588 A254788 A347669 * A052331 A242365 A119436

Adjacent sequences:  A352809 A352810 A352811 * A352813 A352814 A352815

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Apr 04 2022

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 August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)