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%I #15 Mar 30 2024 03:01:12
%S 13,22,37,62,104,174,291,486,812,1356,2265,3782,6316,10546,17611,
%T 29406,49104,81992,136913,228614,381744,637430,1064387,1777302,
%U 2967748,4955524,8274745,13817126,23071844,38525274,64329483,107417166,179365064
%N Number of binary strings of length n with no substrings equal to 0011 0110 or 1001.
%H R. H. Hardin, <a href="/A164506/b164506.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 (2,0,-2,3,-2)
%F G.f.: -x^4*(-13+4*x+7*x^2-14*x^3+15*x^4) / ( (x-1)*(2*x^4-x^3+x^2+x-1) ). - _R. J. Mathar_, Jan 19 2011
%t LinearRecurrence[{2,0,-2,3,-2},{13,22,37,62,104},40] (* _Harvey P. Dale_, Oct 17 2020 *)
%K nonn,easy
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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