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A164422 Number of binary strings of length n with no substrings equal to 0000 0010 or 1010. 1

%I #12 Apr 04 2024 04:23:43

%S 13,21,35,60,102,171,287,484,817,1377,2319,3907,6585,11098,18701,

%T 31512,53102,89486,150797,254112,428212,721597,1215992,2049113,

%U 3453034,5818835,9805537,16523676,27844658,46922064,79070112,133243983,224534381

%N Number of binary strings of length n with no substrings equal to 0000 0010 or 1010.

%H R. H. Hardin, <a href="/A164422/b164422.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 (1,0,1,1,1).

%F G.f.: -x^4*(13+8*x+14*x^2+12*x^3+8*x^4) / ( -1+x+x^3+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 April 24 04:02 EDT 2024. Contains 371918 sequences. (Running on oeis4.)