A164447 - OEIS

%I #14 Apr 03 2024 03:17:48

%S 13,21,33,54,88,144,233,377,609,986,1596,2584,4181,6765,10945,17710,

%T 28656,46368,75025,121393,196417,317810,514228,832040,1346269,2178309,

%U 3524577,5702886,9227464,14930352,24157817,39088169,63245985,102334154

%N Number of binary strings of length n with no substrings equal to 0001 0010 or 0110.

%H R. H. Hardin, <a href="/A164447/b164447.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2,2,0,-1).

%F G.f.: -x^4*(-13+5*x+9*x^2-14*x^3+4*x^4+8*x^5) / ( (x-1)*(1+x)*(x^2-x+1)*(x^2+x-1) ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009