Expansion of b(q) / b(q^2) in powers of q where b() is a cubic AGM theta function.

Terms

a(0) =1a(1) =-3a(2) =3a(3) =-3a(4) =6a(5) =-9a(6) =12a(7) =-15a(8) =21a(9) =-30a(10) =36a(11) =-45a(12) =60a(13) =-78a(14) =96a(15) =-117a(16) =150a(17) =-189a(18) =228a(19) =-276a(20) =342a(21) =-420a(22) =504a(23) =-603a(24) =732a(25) =-885a(26) =1050a(27) =-1245a(28) =1488a(29) =-1773