The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A216951 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. 2
 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, 2226, 370, 4564, 2, 9656, 2, 17944, 1450, 35424, 152, 74182, 2, 141628, 5774, 284342, 2, 578022, 2, 1134518, 23576, 2265394, 2, 4580468, 128, 9062280, 92236, 18129626 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A216730 for definition of curling number. LINKS Lars Blomberg, Table of n, a(n) for n = 1..120 B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, arXiv:1212.6102, Dec 25 2012. B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3. Index entries for sequences related to curling numbers EXAMPLE For n=6, there are 8 strings S that satisfy the condition: 222222, k=6, Y=2 223223, k=2, Y=223 232232, k=2, Y=232 232323, k=3, Y=23 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. CROSSREFS Cf. A216730, A216952. Sequence in context: A278242 A035580 A135293 * A366628 A320305 A064025 Adjacent sequences: A216948 A216949 A216950 * A216952 A216953 A216954 KEYWORD nonn AUTHOR N. J. A. Sloane, Sep 24 2012 EXTENSIONS More terms from Lars Blomberg, Nov 02 2016 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.

Last modified August 5 02:04 EDT 2024. Contains 374935 sequences. (Running on oeis4.)