A164430 - OEIS

%I #13 Apr 04 2024 04:21:23

%S 13,21,36,62,105,178,303,516,878,1494,2543,4329,7369,12544,21354,

%T 36352,61884,105349,179343,305309,519751,884813,1506288,2564276,

%U 4365376,7431537,12651316,21537377,36664853,62417606,106258647,180892877

%N Number of binary strings of length n with no substrings equal to 0000 0011 or 1100.

%H R. H. Hardin, <a href="/A164430/b164430.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1,0,-1,-1,-1).

%F G.f.: -x^4*(-13-8*x-2*x^2+8*x^3+14*x^4+12*x^5+8*x^6)/(1-x-x^2-x^3+x^5+x^6+x^7). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009