A164440 - OEIS

%I #13 Apr 03 2024 15:15:02

%S 13,22,37,62,104,174,291,487,815,1364,2283,3821,6395,10703,17913,

%T 29980,50176,83977,140548,235228,393689,658897,1102762,1845636,

%U 3088946,5169810,8652445,14481152,24236359,40563147,67888452,113621409,190162306

%N Number of binary strings of length n with no substrings equal to 0000 0110 or 1011.

%H R. H. Hardin, <a href="/A164440/b164440.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,-1,1,-1,1).

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

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009