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A164502 Number of binary strings of length n with no substrings equal to 0010 1011 or 1100. 1

%I #14 Mar 30 2024 05:15:26

%S 13,20,31,48,74,114,176,272,421,652,1010,1564,2421,3746,5795,8964,

%T 13867,21454,33196,51368,79490,123006,190339,294520,455714,705124,

%U 1091037,1688172,2612149,4041868,6254143,9677284,14974018,23169790,35851304

%N Number of binary strings of length n with no substrings equal to 0010 1011 or 1100.

%H R. H. Hardin, <a href="/A164502/b164502.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2,1,0,1).

%F G.f.: -x^4*(13-6*x-9*x^2+12*x^3+5*x^4+8*x^5) / ( -1+2*x-2*x^3+x^4+x^6 ). - _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 June 12 15:44 EDT 2024. Contains 373332 sequences. (Running on oeis4.)