A164479 - OEIS

%I #16 Mar 31 2024 01:56:16

%S 13,21,34,54,85,133,207,322,500,776,1204,1867,2895,4488,6957,10784,

%T 16715,25908,40156,62239,96466,149514,231734,359167,556676,862797,

%U 1337255,2072621,3212369,4978871,7716784,11960291,18537329,28731120,44530538

%N Number of binary strings of length n with no substrings equal to 0001 0110 or 1011.

%H R. H. Hardin, <a href="/A164479/b164479.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,-1,-1,2,-1).

%F G.f.: -x^4*(-13+5*x+8*x^2+x^3-11*x^4+8*x^5) / ( (x-1)*(x^5-x^4+x^2+x-1) ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009