A164484 - OEIS

%I #14 Mar 31 2024 01:57:37

%S 13,20,31,48,74,114,175,268,410,626,955,1456,2218,3378,5143,7828,

%T 11914,18130,27587,41976,63866,97170,147839,224924,342202,520626,

%U 792075,1205056,1833354,2789234,4243495,6455972,9821994,14942994,22733971

%N Number of binary strings of length n with no substrings equal to 0001 0111 or 1100.

%H R. H. Hardin, <a href="/A164484/b164484.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 (2,0,0,-3,2).

%F G.f.: -x^4*(13-6*x-9*x^2-14*x^3+17*x^4) / ( (2*x^3+x^2-1)*(x-1)^2 ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009