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A164490 Number of binary strings of length n with no substrings equal to 0010 0011 or 0110. 1

%I #13 Mar 31 2024 01:57:17

%S 13,21,32,50,76,117,177,270,408,620,937,1421,2148,3254,4920,7449,

%T 11265,17050,25788,39024,59029,89317,135112,204426,309252,467885,

%U 707825,1070886,1620080,2451028,3708049,5609885,8486988,12839854,19425008

%N Number of binary strings of length n with no substrings equal to 0010 0011 or 0110.

%H R. H. Hardin, <a href="/A164490/b164490.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,-2,2,-1)

%F G.f.: -x^4*(-13+5*x+10*x^2-12*x^3+8*x^4) / ( (x-1)*(x^4-x^3+x^2+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 2 23:14 EDT 2024. Contains 372203 sequences. (Running on oeis4.)