A164421 - OEIS

%I #12 Jul 25 2021 13:55:12

%S 13,22,38,65,111,189,322,549,936,1596,2721,4639,7909,13484,22989,

%T 39194,66822,113925,194231,331145,564570,962537,1641032,2797800,

%U 4769977,8132347,13864861,23638240,40300901,68709118,117142366,199716345

%N Number of binary strings of length n with no substrings equal to 0000 0010 or 1001

%H R. H. Hardin, <a href="/A164421/b164421.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 (1,1,0,0,1).

%F G.f.: -x^4*(13+9*x+3*x^2+5*x^3+8*x^4) / ( -1+x+x^2+x^5 ). - _R. J. Mathar_, Nov 28 2011

%K nonn

%O 4,1

%A _R. H. Hardin_, Aug 14 2009