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%I #9 Oct 20 2014 17:14:58
%S 1,2,4,8,14,24,42,74,134,246,458,856,1608,3030,5742,10936,20940,40250,
%T 77618,150020,290568,563812,1095992,2133964,4161236,8124978,15882766,
%U 31079356,60872816,119328840,234106580,459622576,902996064,1775186438
%N Number of binary strings of length n with equal numbers of 0010 and 1011 substrings
%H R. H. Hardin, <a href="/A164171/b164171.txt">Table of n, a(n) for n=0..500</a>
%H Shalosh B. Ekhad and Doron Zeilberger, <a href="http://arxiv.org/abs/1112.6207">Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type</a>, arXiv preprint arXiv:1112.6207, 2011. See subpages for rigorous derivations of g.f., recurrence, asymptotics for this sequence. [From _N. J. A. Sloane_, Apr 07 2012]
%K nonn
%O 0,2
%A _R. H. Hardin_, Aug 11 2009