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 A164448 Number of binary strings of length n with no substrings equal to 0001 0010 or 0111 1

%I #12 Apr 10 2019 11:28:15

%S 13,21,33,51,77,116,173,257,380,561,826,1215,1785,2621,3846,5642,8274,

%T 12132,17786,26073,38218,56018,82105,120338,176371,258492,378846,

%U 555234,813743,1192607,1747859,2561621,3754247,5502126,8063767,11818035

%N Number of binary strings of length n with no substrings equal to 0001 0010 or 0111

%H R. H. Hardin, <a href="/A164448/b164448.txt">Table of n, a(n) for n=4..500</a>

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

%F G.f. -x^4*(13-5*x-9*x^2-2*x^3-4*x^4+8*x^5) / ( (1+x)*(x^3+x-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011

%t LinearRecurrence[{2,0,-1,0,-1,1},{13,21,33,51,77,116},40] (* _Harvey P. Dale_, Apr 10 2019 *)

%K nonn

%O 4,1

%A _R. H. Hardin_ Aug 14 2009

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Last modified December 5 10:56 EST 2023. Contains 367589 sequences. (Running on oeis4.)