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Expansion of (r(q) * s(q))^3 where r(), s() are cubic AGM theta functions.
1

%I #16 Oct 19 2018 09:46:57

%S 1,9,-27,-261,765,2214,-11529,11304,24813,-81423,71118,106812,-354609,

%T 262350,385992,-1049166,739917,990306,-2713203,1709604,2287710,

%U -5646600,3707532,4448952,-11344833,6737319,8450838,-19943757,12298248,14238558,-34639974,19856736

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

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

%H Seiichi Manyama, <a href="/A320676/b320676.txt">Table of n, a(n) for n = 0..10000</a>

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

%Y Cf. A004010, A008654, A281722.

%K sign

%O 0,2

%A _Seiichi Manyama_, Oct 19 2018