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 A373080 #40 Jun 24 2024 10:51:10
%S A373080 1,2,4,8,11,18,28,40,64,96,144,224,336,512,784,1184,1808,2752,4176,
%T A373080 6368,9680,14720,22416,34080,51856,78912,120016,182624,277840,422656,
%U A373080 643088,978336,1488400,2264512,3445072,5241312,7974096,12131456,18456720,28079648
%N A373080 a(n) is the number of binary strings of length n not containing the substrings 0000, 0001, 0011, 0111, 1111.
%H A373080 Paolo Xausa, <a href="/A373080/b373080.txt">Table of n, a(n) for n = 0..1000</a>
%H A373080 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,2).
%F A373080 a(n) = a(n-2) + 2*a(n-3) for n >= 7.
%F A373080 G.f.: -(x+1)^2*(x^2+1)^2/(2*x^3+x^2-1). - _Alois P. Heinz_, Jun 03 2024
%t A373080 LinearRecurrence[{0, 1, 2}, {1, 2, 4, 8, 11, 18, 28}, 50] (* _Paolo Xausa_, Jun 24 2024 *)
%Y A373080 Cf. A052947, A164395, A164408, A368430.
%K A373080 nonn,easy
%O A373080 0,2
%A A373080 _Miquel A. Fiol_, Jun 03 2024