Expansion of a(q) / b(q) in powers of q where a(), b() are cubic AGM theta functions.

Terms

a(0) =1a(1) =9a(2) =27a(3) =81a(4) =198a(5) =459a(6) =972a(7) =1989a(8) =3861a(9) =7290a(10) =13284a(11) =23679a(12) =41148a(13) =70218a(14) =117504a(15) =193671a(16) =314262a(17) =503415a(18) =796068a(19) =1244988a(20) =1925910a(21) =2950668a(22) =4478328a(23) =6739497a(24) =10059228a(25) =14901471a(26) =21914442a(27) =32011119a(28) =46456272a(29) =67010679