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%I #9 Oct 20 2014 17:14:58
%S 1,2,4,6,8,12,22,46,96,192,368,692,1302,2482,4794,9334,18208,35484,
%T 69060,134400,261864,511136,999404,1956660,3834182,7518146,14750262,
%U 28957066,56884098,111817490,219934862,432832198,852241168,1678824924,3308539056
%N Number of binary strings of length n with equal numbers of 001 and 110 substrings
%H R. H. Hardin, <a href="/A164145/b164145.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
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