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A164418 Number of binary strings of length n with no substrings equal to 0000 0010 or 0101 1

%I #12 Jul 25 2021 13:55:24

%S 13,22,38,66,115,200,347,601,1042,1808,3137,5442,9440,16375,28405,

%T 49274,85476,148275,257211,446181,773986,1342627,2329044,4040173,

%U 7008453,12157502,21089513,36583796,63461595,110086280,190965717,331266576

%N Number of binary strings of length n with no substrings equal to 0000 0010 or 0101

%H R. H. Hardin, <a href="/A164418/b164418.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,1,1,1,1).

%F G.f.: -x^4*(13+9*x+16*x^2+15*x^3+14*x^4+12*x^5+8*x^6) / ( (x^2-x+1)*(x^5+2*x^4+2*x^3+x^2-1) ). - _R. J. Mathar_, Nov 30 2011

%K nonn

%O 4,1

%A _R. H. Hardin_ Aug 14 2009

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)