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A164500 Number of binary strings of length n with no substrings equal to 0010 1001 or 1010. 1

%I #16 Mar 30 2024 05:15:10

%S 13,21,36,60,100,168,281,470,787,1317,2204,3689,6174,10333,17294,

%T 28944,48442,81075,135691,227099,380084,636127,1064653,1781855,

%U 2982199,4991153,8353436,13980716,23398805,39161376,65542380,109694909,183590725

%N Number of binary strings of length n with no substrings equal to 0010 1001 or 1010.

%H R. H. Hardin, <a href="/A164500/b164500.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,-1,1,-1,1).

%F G.f.: -x^4*(13-5*x+7*x^2-4*x^3+8*x^4) / ( -1+2*x-x^2+x^3-x^4+x^5 ). - _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 April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)