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!)
A164714 A positive integer n is included if all runs of 0's in binary n are of the same length, and if all runs of 1's in binary n are of the same length, and if there are at least two runs of 0's and at least two runs of 1's. 2
10, 21, 36, 42, 54, 73, 85, 136, 170, 204, 219, 238, 273, 292, 341, 438, 528, 585, 682, 792, 819, 924, 990, 1057, 1365, 1755, 1911, 2080, 2184, 2340, 2730, 3120, 3171, 3276, 3510, 3640, 3822, 3900, 4030, 4161, 4369, 4681, 5461, 7399, 8256, 10922, 12384 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Clarification: A binary number consists of "runs" completely of 1's alternating with runs completely of 0's. No two or more runs all of the same digit are adjacent.
The length of each run of 1's may be different that the length of each run of 0's.
This sequence contains those positive integers in both sequence A164709 and sequence A164712.
The integers of this sequence, along with those positive integers that have (when written in binary) only one run of 0's and/or only one run of 1's, make up sequence A164713.
LINKS
MATHEMATICA
bslQ[n_]:=Module[{r=Split[IntegerDigits[n, 2]]}, Length[r]>3&&Length[ Union[ Length/@Take[r, {1, -1, 2}]]]==1&&Length[Union[Length/@Take[r, {2, -1, 2}]]] == 1]; Select[Range[13000], bslQ] (* Harvey P. Dale, Jan 13 2021 *)
CROSSREFS
Sequence in context: A250664 A082581 A075846 * A324600 A240536 A060852
KEYWORD
base,nonn
AUTHOR
Leroy Quet, Aug 23 2009
EXTENSIONS
More terms from Sean A. Irvine, Sep 28 2009
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 April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)