A164449 - OEIS

%I #14 Apr 03 2024 03:19:01

%S 13,21,34,56,91,147,238,386,625,1011,1636,2648,4285,6933,11218,18152,

%T 29371,47523,76894,124418,201313,325731,527044,852776,1379821,2232597,

%U 3612418,5845016,9457435,15302451,24759886,40062338,64822225,104884563

%N Number of binary strings of length n with no substrings equal to 0001 0010 or 1010.

%H R. H. Hardin, <a href="/A164449/b164449.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,-1,1,0,-1).

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

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009