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%I #11 Sep 03 2022 22:08:04
%S 1,2,4,8,14,24,40,70,126,236,444,840,1580,2982,5642,10758,20618,39724,
%T 76720,148508,287840,558880,1086816,2117164,4130292,8068510,15778730,
%U 30887282,60514526,118658662,232846542,457252186,898525282,1766745540
%N Number of binary strings of length n with equal numbers of 0010 and 0110 substrings.
%H R. H. Hardin, <a href="/A164168/b164168.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