A320676 Expansion of (r(q) * s(q))^3 where r(), s() are cubic AGM theta functions.

1, 9, -27, -261, 765, 2214, -11529, 11304, 24813, -81423, 71118, 106812, -354609, 262350, 385992, -1049166, 739917, 990306, -2713203, 1709604, 2287710, -5646600, 3707532, 4448952, -11344833, 6737319, 8450838, -19943757, 12298248, 14238558, -34639974, 19856736

Offset

0,2

Comments

Cubic AGM theta functions: r(q) (see A004016), s(q) (A005928), t(q) (A005882).

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

Expansion of (eta(q)^3 * (eta(q)^3 + 9 * eta(q^9)^3) / eta(q^3)^2)^3 in powers of q.

Crossrefs

Cf. A004010, A008654, A281722.

Sequence in context: A227474 A286524 A057901 * A317027 A020254 A124396

Adjacent sequences: A320673 A320674 A320675 * A320677 A320678 A320679

Keyword

sign

Author

Seiichi Manyama, Oct 19 2018

Status

approved