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A164404 Number of binary strings of length n with no substrings equal to 0010 or 1011 1

%I

%S 14,24,41,70,120,206,354,608,1044,1792,3076,5280,9064,15560,26712,

%T 45856,78720,135136,231984,398240,683648,1173600,2014688,3458560,

%U 5937216,10192256,17496768,30036224,51562368,88515712,151952512,260852736

%N Number of binary strings of length n with no substrings equal to 0010 or 1011

%H R. H. Hardin, <a href="/A164404/b164404.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 (2,0,-2,2).

%F G.f.: x^4*(14-4*x-7*x^2+16*x^3)/(1-2*x+2*x^3-2*x^4). - _R. J. Mathar_, Nov 30 2011

%t LinearRecurrence[{2,0,-2,2}, {14, 24, 41, 70}, 50] (* _G. C. Greubel_, Sep 19 2017 *)

%o (PARI) x='x+O('x^50); Vec(x^4*(14-4*x-7*x^2+16*x^3)/(1-2*x+2*x^3-2*x^4)) \\ _G. C. Greubel_, Sep 19 2017

%K nonn

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified November 27 01:16 EST 2021. Contains 349344 sequences. (Running on oeis4.)