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A164497 Number of binary strings of length n with no substrings equal to 0010 0110 or 1011. 1

%I #14 Mar 30 2024 05:14:43

%S 13,21,34,54,87,140,227,368,597,967,1565,2531,4093,6620,10710,17330,

%T 28044,45381,73432,118816,192244,311049,503279,814318,1317598,2131931,

%U 3449554,5581509,9031072,14612565,23643597,38256113,61899677,100155797

%N Number of binary strings of length n with no substrings equal to 0010 0110 or 1011.

%H R. H. Hardin, <a href="/A164497/b164497.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 (2,0,-2,1,1).

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

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified May 16 03:14 EDT 2024. Contains 372549 sequences. (Running on oeis4.)