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%I #16 Mar 31 2024 01:55:37
%S 13,20,31,48,74,115,179,278,433,675,1051,1638,2554,3980,6204,9673,
%T 15078,23505,36646,57128,89059,138845,216454,337443,526073,820135,
%U 1278566,1993268,3107464,4844460,7552429,11774088,18355543,28615940,44611686
%N Number of binary strings of length n with no substrings equal to 0001 0101 or 1100.
%H R. H. Hardin, <a href="/A164474/b164474.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,-1,2,-3,1).
%F G.f.: -x^4*(13-6*x+4*x^2-20*x^3+8*x^4) / ( (x-1)*(x^4-2*x^3-x+1) ). - _R. J. Mathar_, Jan 19 2011
%t LinearRecurrence[{2,-1,2,-3,1},{13,20,31,48,74},40] (* _Harvey P. Dale_, Dec 28 2017 *)
%K nonn,easy
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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