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A164494 Number of binary strings of length n with no substrings equal to 0010 0101 or 1010. 1

%I #15 Mar 30 2024 04:37:01

%S 13,23,40,70,123,216,379,665,1167,2048,3594,6307,11068,19423,34085,

%T 59815,104968,184206,323259,567280,995507,1746993,3065759,5380032,

%U 9441298,16568323,29075380,51023735,89540413,157132471,275748264,483904470

%N Number of binary strings of length n with no substrings equal to 0010 0101 or 1010.

%H R. H. Hardin, <a href="/A164494/b164494.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1).

%F G.f.: -x^4*(13-3*x+7*x^2) / ( -1+2*x-x^2+x^3 ). - _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 1 03:54 EDT 2024. Contains 372148 sequences. (Running on oeis4.)