A261979 Expansion of (elliptic_K / elliptic_E)^(1/2) in powers of q.

1, 4, 0, -16, 16, 120, -128, -928, 1056, 7572, -8960, -63408, 77248, 540504, -672000, -4665824, 5888832, 40656072, -51913728, -356835664, 459890400, 3150052992, -4090609024, -27939033312, 36509767552, 248772971228, -326815190784, -2222432164768, 2932886151552, 19910399315736

Offset: 0

Author

Joerg Arndt, Sep 07 2015

Keywords

• sign

Crossrefs

Cf. A261975 (E/K), A261977 ((E/K)^(1/2)), A261978 ((E/K)^(1/4)).

Cf. A261976 (K/E), A261980 ((K/E)^(1/4)).

Cf. A004018 (elliptic K(q)), A194094 (elliptic E(q)), A115977 (elliptic k(q)^2).

Formula

See A261976 for the g.f. for K/E.