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 A004408 #21 Sep 20 2018 09:17:19 %S A004408 1,-14,112,-672,3346,-14560,57120,-206208,694960,-2209774,6683040, %T A004408 -19345760,53874912,-144936288,377965760,-958231680,2367566866, %U A004408 -5713057728,13488657168,-31210552800,70873262880,-158145658560 %N A004408 Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-7). %H A004408 Seiichi Manyama, <a href="/A004408/b004408.txt">Table of n, a(n) for n = 0..10000</a> %F A004408 a(n) ~ (-1)^n * 49*exp(Pi*sqrt(7*n)) / (4096*n^(5/2)). - _Vaclav Kotesovec_, Aug 18 2015 %F A004408 From _Ilya Gutkovskiy_, Sep 20 2018: (Start) %F A004408 G.f.: 1/theta_3(x)^7, where theta_3() is the Jacobi theta function. %F A004408 G.f.: Product_{k>=1} 1/((1 - x^(2*k))*(1 + x^(2*k-1))^2)^7. (End) %t A004408 nmax = 30; CoefficientList[Series[Product[((1 + (-x)^k)/(1 - (-x)^k))^7, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 18 2015 *) %o A004408 (PARI) q='q+O('q^99); Vec(((eta(q)*eta(q^4))^2/eta(q^2)^5)^7) \\ _Altug Alkan_, Sep 20 2018 %Y A004408 Cf. A000122, A008451. %K A004408 sign %O A004408 0,2 %A A004408 _N. J. A. Sloane_