A164460 - OEIS

%I #14 Apr 02 2024 03:57:44

%S 13,21,33,50,76,115,173,261,393,591,889,1336,2007,3015,4528,6800,

%T 10212,15335,23028,34580,51926,77973,117085,175815,264004,396428,

%U 595275,893863,1342221,2015473,3026425,4544465,6823946,10246803,15386547,23104360

%N Number of binary strings of length n with no substrings equal to 0001 0011 or 1101.

%H R. H. Hardin, <a href="/A164460/b164460.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1,-1,1,1,-1).

%F G.f.: -x^4*(-13+5*x+9*x^2+3*x^3-10*x^4-4*x^5+8*x^6) / ( (x-1)*(x^6-x^4+x^2+x-1) ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009