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 A292118 #23 Dec 18 2023 08:28:15
%S A292118 1,-2,0,2,-2,2,0,-2,0,2,0,-2,2,-2,0,2,-2,2,0,-2,2,-2,0,2,0,-2,0,2,-2,
%T A292118 2,0,-2,0,2,0,-2,2,-2,0,2,0,-2,0,2,-2,2,0,-2,2,-2,0,2,-2,2,0,-2,0,2,0,
%U A292118 -2,2,-2,0,2,-2,2,0,-2,2,-2,0,2,0,-2,0,2,-2
%N A292118 G.f.: 1 + 2*Sum_{k >= 1} (-1)^k*q^A003159(k).
%H A292118 Sean A. Irvine, <a href="/A292118/b292118.txt">Table of n, a(n) for n = 0..10000</a>
%H A292118 George E. Andrews and David Newman, <a href="https://georgeandrews1.github.io/pdf/322.pdf">Binary Representations and Theta Functions</a>, 2017.
%F A292118 Andrews-Newman (2017) give many properties of this series.
%t A292118 Join[{1},Differences[(-1)^ThueMorse[Range[0,100]]]] (* _Paolo Xausa_, Dec 18 2023 *)
%Y A292118 Cf. A003159, A292118.
%Y A292118 First differences of A106400.
%K A292118 sign
%O A292118 0,2
%A A292118 _N. J. A. Sloane_, Sep 09 2017