A261977 Expansion of (elliptic_E / elliptic_K)^(1/2) in powers of q.

1, -4, 16, -48, 112, -248, 576, -1248, 2272, -3988, 8672, -18192, 23616, -23000, 100992, -304032, 41152, 970552, 1972816, -11299824, -9904096, 80729472, 95978688, -676487328, -755649408, 5483063076, 6371808608, -45452602080, -53224627584, 378628636264, 449486486400, -3179963494272

Offset: 0

Author

Joerg Arndt, Sep 07 2015

Keywords

• sign

Crossrefs

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

Cf. A261976 (K/E), A261979 ((K/E)^(1/2)), A261980 ((K/E)^(1/4)).

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

Formula

See A261975 for the g.f. for E/K.