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%I #25 Nov 02 2016 05:34:32
%S 2,2,2,4,2,8,2,10,8,14,2,40,2,40,32,88,2,192,2,324,100,564,2,1356,32,
%T 2226,370,4564,2,9656,2,17944,1450,35424,152,74182,2,141628,5774,
%U 284342,2,578022,2,1134518,23576,2265394,2,4580468,128,9062280,92236,18129626
%N Let S be a string of n 2's and 3's, with curling number k, which means S = XY^k where k is maximized; a(n) = number of S for which X must be taken to be the empty string.
%C See A216730 for definition of curling number.
%H Lars Blomberg, <a href="/A216951/b216951.txt">Table of n, a(n) for n = 1..120</a>
%H B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="http://arxiv.org/abs/1212.6102">On Curling Numbers of Integer Sequences</a>, arXiv:1212.6102, Dec 25 2012.
%H B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL16/Sloane/sloane3.html">On Curling Numbers of Integer Sequences</a>, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3.
%H <a href="/index/Cu#curling_numbers">Index entries for sequences related to curling numbers</a>
%e For n=6, there are 8 strings S that satisfy the condition:
%e 222222, k=6, Y=2
%e 223223, k=2, Y=223
%e 232232, k=2, Y=232
%e 232323, k=3, Y=23
%e and 4 more by exchanging 2 and 3. Note that 233233 with k=2 is not on the list, because we could choose X empty, Y=233 or X=2332, Y=3, and the latter avoids taking X to be empty.
%Y Cf. A216730, A216952.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Sep 24 2012
%E More terms from _Lars Blomberg_, Nov 02 2016
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