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%I #16 Oct 02 2017 02:23:25
%S 13,22,37,60,98,160,259,420,681,1102,1784,2888,4673,7562,12237,19800,
%T 32038,51840,83879,135720,219601,355322,574924,930248,1505173,2435422,
%U 3940597,6376020,10316618,16692640,27009259,43701900,70711161,114413062
%N Number of binary strings of length n with no substrings equal to 0000 0001 or 0111.
%H G. C. Greubel, <a href="/A164412/b164412.txt">Table of n, a(n) for n = 4..1000</a> (terms 4..500 from R. H. Hardin)
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1,-1,-1).
%F G.f.: -x^4*(-13-9*x-2*x^2+12*x^3+8*x^4)/( (x-1)*(1+x+x^2)*(x^2+x-1) ). - _R. J. Mathar_, Nov 30 2011
%t Rest[Rest[Rest[Rest[CoefficientList[Series[-x^4*(-13 - 9*x - 2*x^2 + 12*x^3 + 8*x^4)/((x - 1)*(1 + x + x^2)*(x^2 + x - 1)), {x, 0, 50}], x]]]]] (* _G. C. Greubel_, Oct 01 2017 *)
%o (PARI) x='x+O('x^50); Vec(-x^4*(-13-9*x-2*x^2+12*x^3+8*x^4)/( (x-1)*(1+x+x^2)*(x^2+x-1) )) \\ _G. C. Greubel_, Oct 01 2017
%K nonn
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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