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 A374900 #17 Jul 31 2024 14:41:17 %S A374900 1,2,2,2,2,1,2,2,2,3,2,0,2,2,2,2,2,2,2,2,2,2,2,0,1,4,2,2,2,0,2,2,3,4, %T A374900 2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,4,0,2,2,0,2,2,2,3,2,0,2,2,4,0,2,2,2,2, %U A374900 2,3,2,0,2,4,2,2,0,0,2,2,2,4,2,0,2,2,2,2,2,0,2,4,4,2,2,0,2,2,2,2,2 %N A374900 Expansion of Sum_{k in Z} x^k / (1 - x^(7*k+1)). %F A374900 G.f.: Product_{k>0} (1-x^(7*k))^2 * (1-x^(7*k-2)) * (1-x^(7*k-5)) / ((1-x^(7*k-1)) * (1-x^(7*k-6)))^2. %o A374900 (PARI) my(N=110, x='x+O('x^N)); Vec(sum(k=-N, N, x^k/(1-x^(7*k+1)))) %o A374900 (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))/((1-x^(7*k-1))*(1-x^(7*k-6)))^2)) %Y A374900 Cf. A008441, A033687, A097195, A340456. %K A374900 nonn %O A374900 0,2 %A A374900 _Seiichi Manyama_, Jul 31 2024