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A164458 Number of binary strings of length n with no substrings equal to 0001 0011 or 1011 1

%I

%S 13,21,32,47,68,96,134,185,253,344,465,626,840,1124,1501,2001,2664,

%T 3543,4708,6252,8298,11009,14601,19360,25665,34018,45084,59744,79165,

%U 104893,138976,184127,243940,323176,428142,567193,751397,995416,1318673,1746898

%N Number of binary strings of length n with no substrings equal to 0001 0011 or 1011

%H R. H. Hardin, <a href="/A164458/b164458.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 (2,0,-1,-1,1).

%F G.f. -x^4*(13-5*x-10*x^2-4*x^3+8*x^4) / ( (x^3+x^2-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011

%t LinearRecurrence[{2,0,-1,-1,1},{13,21,32,47,68},60] (* _Harvey P. Dale_, Sep 04 2019 *)

%K nonn

%O 4,1

%A _R. H. Hardin_ Aug 14 2009

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Last modified January 22 21:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)