A164471 - OEIS

%I #13 Apr 04 2024 04:27:04

%S 13,21,35,59,99,167,283,479,811,1375,2331,3951,6699,11359,19259,32655,

%T 55371,93887,159195,269935,457707,776095,1315963,2231375,3783563,

%U 6415487,10878235,18445359,31276331,53032799,89923515,152476175,258541771

%N Number of binary strings of length n with no substrings equal to 0001 0101 or 1000.

%H R. H. Hardin, <a href="/A164471/b164471.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,2,-2).

%F G.f.: -x^4*(-13+5*x-6*x^2+16*x^3) / ( (x-1)*(2*x^3+x-1) ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009