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%I #13 Apr 02 2024 03:59:34
%S 13,20,33,55,89,143,232,377,610,986,1596,2584,4181,6764,10945,17711,
%T 28657,46367,75024,121393,196418,317810,514228,832040,1346269,2178308,
%U 3524577,5702887,9227465,14930351,24157816,39088169,63245986,102334154
%N Number of binary strings of length n with no substrings equal to 0001 0100 or 0101.
%H R. H. Hardin, <a href="/A164462/b164462.txt">Table of n, a(n) for n=4..500</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1,0,-1).
%F G.f.: -x^4*(-13+6*x-6*x^2+4*x^3+8*x^4) / ( (x-1)*(x^2+1)*(x^2+x-1) ). - _R. J. Mathar_, Jan 19 2011
%K nonn,easy
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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