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 A375150 #11 Aug 01 2024 14:13:16 %S A375150 1,0,1,0,1,1,1,-1,1,0,2,0,1,0,1,1,0,0,1,-1,2,1,1,0,1,0,1,0,1,0,2,-1,1, %T A375150 0,0,1,1,1,1,0,3,0,0,-2,1,1,1,0,1,0,2,0,0,1,1,0,1,0,1,1,2,-1,1,0,1,0, %U A375150 1,-1,0,1,2,0,1,0,1,1,1,0,2,-2,2,0,1,0,1,2,1,0,-1,0,2,-1,1,0,0,1,1,0,1,0,3 %N A375150 Expansion of Sum_{k in Z} x^k / (1 - x^(7*k+5)). %F A375150 G.f.: Product_{k>0} (1-x^(7*k))^2 / ((1-x^(7*k-2)) * (1-x^(7*k-5))). %F A375150 G.f.: Sum_{k in Z} x^(5*k) / (1 - x^(7*k+1)). %o A375150 (PARI) my(N=110, x='x+O('x^N)); Vec(sum(k=-N, N, x^k/(1-x^(7*k+5)))) %o A375150 (PARI) my(N=110, x='x+O('x^N)); Vec(prod(k=1, N, (1-x^(7*k))^2/((1-x^(7*k-2))*(1-x^(7*k-5))))) %Y A375150 Cf. A374900, A375106, A375148, A375149. %Y A375150 Cf. A375107. %K A375150 sign %O A375150 0,11 %A A375150 _Seiichi Manyama_, Aug 01 2024