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A164427 Number of binary strings of length n with no substrings equal to 0000 0011 or 0110. 1

%I #12 Apr 04 2024 04:25:52

%S 13,22,37,63,105,177,297,500,839,1411,2370,3984,6693,11249,18901,

%T 31764,53374,89694,150720,253277,425607,715204,1201837,2019598,

%U 3393765,5702960,9583358,16104079,27061604,45474878,76416880,128412479,215786884

%N Number of binary strings of length n with no substrings equal to 0000 0011 or 0110.

%H R. H. Hardin, <a href="/A164427/b164427.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 (1,1,0,1,-1).

%F G.f.: -x^4*(-13-9*x-2*x^2-4*x^3+8*x^4) / ( 1-x-x^2-x^4+x^5 ). - _R. J. Mathar_, Dec 01 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified May 5 22:20 EDT 2024. Contains 372290 sequences. (Running on oeis4.)