cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A116909 Start with the sequence 2322322323222323223223 and extend by always appending the curling number (cf. A094004).

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%I A116909 #15 Aug 02 2014 06:17:48
%S A116909 2,3,2,2,3,2,2,3,2,3,2,2,2,3,2,3,2,2,3,2,2,3,2,3,2,2,2,3,2,2,2,3,2,2,
%T A116909 3,2,2,2,3,2,2,2,3,2,3,2,2,2,3,2,2,2,3,2,2,3,2,2,2,3,2,2,2,3,2,3,2,2,
%U A116909 2,3,2,2,2,3,2,2,3,2,2,2,3,2,3,2,2,2,3,2,2,2,3,2,2,3,2,2,2,3,2
%N A116909 Start with the sequence 2322322323222323223223 and extend by always appending the curling number (cf. A094004).
%C A116909 The (unproved) Curling Number Conjecture is that any starting sequence eventually leads to a "1". The starting sequence used here extends for a total of 142 steps before reaching 1. After than it continues as A090822.
%C A116909 Benjamin Chaffin has found that in a certain sense this is the best of all 2^45 starting sequences of at most 44 2's and 3's.
%C A116909 Note that a(362) = 4. The sequence is unbounded, but a(n) = 5 is not reached until about n = 10^(10^23) - see A090822.
%H A116909 N. J. A. Sloane, <a href="/A116909/b116909.txt">Table of n, a(n) for n = 1..500</a>
%H A116909 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 A116909 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 A116909 N. J. A. Sloane, <a href="/A116909/a116909.f.txt">Fortran program</a>
%H A116909 <a href="/index/Cu#curling_numbers">Index entries for sequences related to curling numbers</a>
%Y A116909 Cf. A094004, A090822, A174998. Sequence of run lengths: A161223.
%K A116909 nonn,nice
%O A116909 1,1
%A A116909 _N. J. A. Sloane_, Jan 15 2009, based on email from _Benjamin Chaffin_, Apr 09 2008 and Dec 04 2009