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A164436 Number of binary strings of length n with no substrings equal to 0000 0101 or 1110. 1

%I

%S 13,21,33,52,81,126,196,304,471,730,1131,1751,2711,4198,6499,10060,

%T 15574,24110,37321,57772,89433,138441,214301,331736,513525,794922,

%U 1230520,1904828,2948635,4564414,7065623,10937451,16930931,26208714,40570567

%N Number of binary strings of length n with no substrings equal to 0000 0101 or 1110.

%H R. H. Hardin, <a href="/A164436/b164436.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2,0,-1,-1).

%F G.f.: -x^4*(-13-8*x-12*x^2+7*x^3+13*x^4+8*x^5) / ( (x-1)*(x^5+2*x^4+2*x^3-1) ). - _R. J. Mathar_, Jan 19 2011

%t LinearRecurrence[{1,0,2,0,-1,-1},{13,21,33,52,81,126},40] (* _Harvey P. Dale_, Sep 01 2016 *)

%K nonn

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified October 24 13:06 EDT 2021. Contains 348231 sequences. (Running on oeis4.)