The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #7 Sep 07 2015 09:00:36
%S 1,8,16,-32,-96,368,960,-3392,-8896,31528,82656,-292704,-767616,
%T 2719024,7130496,-25257408,-66235776,234616720,615265872,-2179359392,
%U -5715218752,20244124928,53088812352,-188048196544,-493143336192,1746784492472,4580821023328,-16225925666624
%N Expansion of elliptic_K / elliptic_E in powers of q.
%F G.f.: T3^5 / (T4^4 * T3 + 4*q * d/dq T3) where T3 = theta_3(q) and T4 = theta_4(q).
%Y Cf. A004018 (elliptic K(q)), A194094 (elliptic E(q)), A115977 (elliptic k(q)^2).
%Y Cf. A261979 ((K/E)^(1/2)), A261980 ((K/E)^(1/4)).
%Y Cf. A261975 (E/K), A261977 ((E/K)^(1/2)), A261978 ((E/K)^(1/4)).
%K sign
%O 0,2
%A _Joerg Arndt_, Sep 07 2015