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!)
A156077 a(n) = #{1<=k<=n : A000002(k)=1}. 10

%I #17 Oct 06 2014 17:35:55

%S 1,1,1,2,3,3,4,4,4,5,5,5,6,7,7,8,9,9,9,10,10,11,12,12,13,13,13,14,15,

%T 15,16,17,17,18,18,18,19,19,19,20,21,21,22,22,22,23,23,24,25,25,26,27,

%U 27,27,28,28,28,29,30,30,31,31,31,32,32,32,33,34,34,35,36,36,37,37,37,38

%N a(n) = #{1<=k<=n : A000002(k)=1}.

%C A234322(n) = nearest integer to 100*a(n)/n. [_Jonathan Sondow_, Jan 08 2014]

%H O. Bordelles and B. Cloitre, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Bordelles/bordelles7r.html">Bounds for the Kolakoski Sequence</a>, J. Integer Sequences, 14 (2011), #11.2.1.

%F a(n) = n-A074286(n).

%F a(n) = 2*n - A054353(n). - _Jean-Christophe Hervé_, Oct 05 2014

%t a2 = {1, 2, 2}; Do[ a2 = Join[a2, {1 + Mod[n - 1, 2]}], {n, 3, 60}, {i, 1, a2[[n]]}]; a3 = Accumulate[a2]; 2*Range[Length[a3]] - a3 (* _Jean-François Alcover_, Jun 18 2013 *)

%Y Cf. A000002, A234322.

%K nonn

%O 1,4

%A _Benoit Cloitre_, Feb 03 2009

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 July 19 18:34 EDT 2024. Contains 374410 sequences. (Running on oeis4.)