%I #16 Mar 31 2024 01:56:01
%S 13,20,31,49,78,123,193,303,476,748,1175,1845,2897,4549,7143,11216,
%T 17611,27652,43418,68173,107042,168072,263898,414359,650605,1021546,
%U 1603978,2518482,3954388,6208972,9749001,15307368,24034823,37738213,59254554
%N Number of binary strings of length n with no substrings equal to 0001 0110 or 1010.
%H R. H. Hardin, <a href="/A164478/b164478.txt">Table of n, a(n) for n=4..500</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1,-1,1,-1).
%F G.f.: -x^4*(-13+6*x-4*x^2+6*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5+x^3+x-1) ). - _R. J. Mathar_, Jan 19 2011
%t LinearRecurrence[{2,-1,1,-1,1,-1},{13,20,31,49,78,123},40] (* _Harvey P. Dale_, Sep 22 2020 *)
%K nonn,easy
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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