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%I #9 Oct 20 2014 17:14:58
%S 1,2,4,8,14,26,49,92,174,329,621,1175,2230,4244,8094,15461,29581,
%T 56697,108870,209425,403516,778677,1504844,2912356,5644101,10952539,
%U 21280139,41394755,80612379,157151994,306673743,599030493,1171155740,2291672544
%N Number of binary strings of length n with equal numbers of 0010 and 0101 substrings
%H R. H. Hardin, <a href="/A164167/b164167.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