Expansion of (b(q) / b(q^2))^3 in powers of q where b() is a cubic AGM theta function.

Terms

a(0) =1a(1) =-9a(2) =36a(3) =-90a(4) =180a(5) =-351a(6) =684a(7) =-1260a(8) =2196a(9) =-3735a(10) =6264a(11) =-10260a(12) =16380a(13) =-25749a(14) =40032a(15) =-61344a(16) =92628a(17) =-138348a(18) =204804a(19) =-300204a(20) =435672a(21) =-627147a(22) =896400a(23) =-1271808a(24) =1791324a(25) =-2507013a(26) =3488472a(27) =-4826070a(28) =6638688a(29) =-9085176