The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #12 Nov 04 2023 17:48:23
%S 13,22,36,56,89,138,212,328,501,766,1172,1784,2721,4146,6308,9608,
%T 14621,22246,33860,51512,78377,119258,181428,276040,419973,638926,
%U 972084,1478904,2249969,3423106,5207812,7923080,12054061,18338742,27900260
%N Number of binary strings of length n with no substrings equal to 0001 0011 or 0111.
%H R. H. Hardin, <a href="/A164455/b164455.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 (2,0,0,-3,2).
%F G.f.: -x^4*(13-4*x-8*x^2-16*x^3+16*x^4) / ( (2*x^3+x^2-1)*(x-1)^2 ). - _R. J. Mathar_, Jan 19 2011
%K nonn
%O 4,1
%A _R. H. Hardin_, Aug 14 2009