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 A375107 #17 Aug 01 2024 14:13:20
%S A375107 1,0,0,1,1,0,1,-1,1,1,0,0,2,0,0,1,1,-1,0,0,1,2,0,0,2,0,0,0,1,-1,1,0,1,
%T A375107 1,0,0,2,-1,1,2,0,0,0,0,1,1,0,-1,2,0,0,0,1,0,1,1,1,1,0,0,2,0,-1,1,1,0,
%U A375107 0,-2,1,1,1,0,3,-1,0,2,1,-1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,-1,2
%N A375107 Expansion of Sum_{k in Z} x^(2*k) / (1 - x^(7*k+3)).
%H A375107 R. P. Agarwal, <a href="https://www.ias.ac.in/describe/article/pmsc/103/03/0269-0293">Lambert series and Ramanujan</a>, Prod. Indian Acad. Sci. (Math. Sci.), v. 103, n. 3, 1993, pp. 269-293. see p. 286.
%F A375107 G.f.: Product_{k>0} (1-x^(7*k))^2 / ((1-x^(7*k-3)) * (1-x^(7*k-4))).
%F A375107 G.f.: Sum_{k in Z} x^(3*k) / (1 - x^(7*k+2)).
%o A375107 (PARI) my(N=100, x='x+O('x^N)); Vec(sum(k=-N, N, x^(2*k)/(1-x^(7*k+3))))
%o A375107 (PARI) my(N=100, x='x+O('x^N)); Vec(prod(k=1, N, (1-x^(7*k))^2/((1-x^(7*k-3))*(1-x^(7*k-4)))))
%Y A375107 Cf. A375106, A375108.
%K A375107 sign
%O A375107 0,13
%A A375107 _Seiichi Manyama_, Jul 30 2024