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!)
A071820 Kolakoski-(2,3) sequence: a(n) is length of n-th run. 7

%I #17 Jul 25 2023 10:12:46

%S 2,2,3,3,2,2,2,3,3,3,2,2,3,3,2,2,3,3,3,2,2,2,3,3,3,2,2,3,3,2,2,2,3,3,

%T 3,2,2,3,3,2,2,2,3,3,3,2,2,2,3,3,2,2,3,3,2,2,2,3,3,3,2,2,2,3,3,2,2,3,

%U 3,3,2,2,2,3,3,2,2,3,3,2,2,2,3,3,3,2,2,2,3,3,2,2,3,3,3,2,2,2,3,3,2,2,3,3,2

%N Kolakoski-(2,3) sequence: a(n) is length of n-th run.

%H Ivan Neretin, <a href="/A071820/b071820.txt">Table of n, a(n) for n = 1..10000</a>

%H Michael Baake and Bernd Sing, <a href="http://arXiv.org/abs/math.MG/0206098">Kolakoski-(3,1) is a (deformed) model set</a>, arXiv:math/0206098 [math.MG], 2002-2003.

%H Johan Nilsson, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL15/Nilsson/nilsson5.html">A Space-Efficient Algorithm for Calculating the Digit Distribution in the Kolakoski Sequence</a>, J. Int. Seq. 15 (2012) #12.6.7.

%H Ulrich Reitebuch, Henriette-Sophie Lipschütz, and Konrad Polthier, <a href="https://archive.bridgesmathart.org/2023/bridges2023-481.html">Visualizing the Kolakoski Sequence</a>, Bridges Conf. Proc.; Math., Art, Music, Architecture, Culture (2023) 481-484.

%t seed = {2, 3};

%t w = {};

%t i = 1;

%t Do[

%t w = Join[w,

%t Array[seed[[Mod[i - 1, Length[seed]] + 1]] &,

%t If[i > Length[w], seed, w][[i]]]];

%t i++

%t , {n, 43}];

%t w

%t (* _Ivan Neretin_, Apr 01 2015 *)

%Y Cf. A000002, A064353, A071907, A071928, A071942.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Sep 08 2002

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 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)