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A093921 a(1) = 1; for n > 1, a(n) = curling number of (b(1),...,b(n-1)), where b() = Kolakoski sequence A000002. 2

%I #10 Aug 02 2014 06:17:47

%S 1,1,1,2,1,2,1,1,2,2,1,2,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,2,1,2,1,1,2,2,

%T 2,2,2,2,2,2,2,2,1,1,2,2,1,2,2,2,1,2,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,2,

%U 2,2,2,2,2,2,2,2,1,2,2,2,1,2,1,1,2,2,2,1,1,2,2,1,2,2,2,2,2,2,2,2

%N a(1) = 1; for n > 1, a(n) = curling number of (b(1),...,b(n-1)), where b() = Kolakoski sequence A000002.

%C The curling number of a finite string S = (s(1),...,s(n)) is the largest integer k such that S can be written as xy^k for strings x and y (where y has positive length).

%H F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">A Slow-Growing Sequence Defined by an Unusual Recurrence</a>, J. Integer Sequences, Vol. 10 (2007), #07.1.2.

%H F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [<a href="http://neilsloane.com/doc/gijs.pdf">pdf</a>, <a href="http://neilsloane.com/doc/gijs.ps">ps</a>].

%H <a href="/index/Cu#curling_numbers">Index entries for sequences related to curling numbers</a>

%Y Cf. A090822, A000002, A093914.

%K nonn

%O 1,4

%A _N. J. A. Sloane_, May 26 2004

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)