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%I #9 Jun 09 2016 22:14:27
%S 2,3,1,4,7,6,5,8,9,11,10,12,13,14,15,16,18,17,19,20,21,22,24,23,25,26,
%T 27,29,28,30,31,32,33,34,35,37,36,38,39,40,41,42,43,44,46,45,47,48,49,
%U 50,51,52,53,54,55,57,56,58,59,60,61,62,63,64,65,67,66
%N A "run" means a maximal string of increasing numbers; this sequence has the property that the sequence of run lengths is the sequence itself and all natural numbers appear exactly once.
%H Lars Blomberg, <a href="/A171083/b171083.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/Runs.htm">Runs</a>
%H E. Angelini, <a href="/A171083/a171083.pdf">Runs</a> [Cached copy, with permission]
%e Here is the same sequence with stars demarking the runs: 2, 3, * 1, 4, 7, * 6, * 5, 8, 9, 11, * 10, 12, 13, 14, 15, 16, 18, * 17, 19, 20, 21, 22, 24, * 23, 25, 26, 27, 29, * 28, 30, 31, 32, 33, 34, 35, 37, * 36, 38, 39, 40, 41, 42, 43, 44, 46, * 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, * 56, ...
%Y Cf. A171084-A171087.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Sep 07 2010, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Aug 23 2010.
%E a(58)-a(66) from _Lars Blomberg_, Nov 23 2013
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