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%I #13 Apr 23 2021 11:26:42
%S 13,20,30,44,64,92,131,186,263,370,520,730,1022,1430,2001,2796,3905,
%T 5456,7618,10632,14844,20720,28911,40350,56315,78574,109644,153014,
%U 213498,297898,415709,580048,809333,1129356,1575846,2198756,3068088,4281092
%N Number of binary strings of length n with no substrings equal to 0001 0111 or 1010.
%H R. H. Hardin, <a href="/A164483/b164483.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,-1,2,-3,0,1).
%F G.f.: -x^4*(13-6*x+3*x^2-22*x^3+5*x^4+8*x^5) / ( (x^4+2*x^3-1)*(x-1)^2 ). - _R. J. Mathar_, Jan 19 2011
%F a(n) = 2*a(n-1)-a(n-2)+2*a(n-3)-3*a(n-4)+a(n-6). - _Wesley Ivan Hurt_, Apr 23 2021
%K nonn
%O 4,1
%A _R. H. Hardin_ Aug 14 2009
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