A164504 - OEIS

%I #17 Mar 30 2024 03:00:36

%S 13,22,36,58,93,148,234,368,576,898,1395,2160,3335,5136,7891,12098,

%T 18512,28276,43119,65654,99826,151586,229904,348290,527077,796846,

%U 1203561,1816264,2738601,4126078,6211884,9345518,14050545,21110920,31699962

%N Number of binary strings of length n with no substrings equal to 0011 0101 or 1010.

%H R. H. Hardin, <a href="/A164504/b164504.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,2,-2,0,-1).

%F G.f.: -x^4*(-13+4*x-5*x^2+18*x^3+5*x^4+8*x^5) / ( (x^3+x-1)^2 ). - _R. J. Mathar_, Jan 19 2011

%t LinearRecurrence[{2,-1,2,-2,0,-1},{13,22,36,58,93,148},40] (* _Harvey P. Dale_, Nov 13 2015 *)

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009