This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A164414 #19 Jun 11 2021 00:26:29 %S A164414 1,2,4,8,13,22,37,63,107,181,307,521,883,1497,2539,4305,7299,12377, %T A164414 20987,35585,60339,102313,173483,294161,498787,845753,1434075,2431649, %U A164414 4123155,6991305,11854603,20100913,34083523,57792729,97994555,166161601,281747059 %N A164414 Number of binary strings of length n with no substrings equal to 0000, 0001, or 1010. %H A164414 Alois P. Heinz, <a href="/A164414/b164414.txt">Table of n, a(n) for n = 0..2000</a> (terms n=4..500 from R. H. Hardin) %H A164414 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2). %F A164414 From _R. J. Mathar_, Nov 30 2011: (Start) %F A164414 a(n) = 13*A077949(n-4) + 9*A077949(n-5) + 15*A077949(n-6). %F A164414 G.f.: (x^6-x^5-x^4-2*x^3-2*x^2-x-1)/(2*x^3+x-1). %F A164414 (End) %Y A164414 Cf. A077949. %K A164414 easy,nonn %O A164414 0,2 %A A164414 _R. H. Hardin_, Aug 14 2009 %E A164414 a(0)-a(3) from _Alois P. Heinz_, Jun 10 2021