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

Terms

a(0) =1a(1) =-6a(2) =15a(3) =-24a(4) =39a(5) =-72a(6) =123a(7) =-192a(8) =294a(9) =-456a(10) =693a(11) =-1008a(12) =1452a(13) =-2100a(14) =2991a(15) =-4176a(16) =5781a(17) =-7992a(18) =10950a(19) =-14808a(20) =19908a(21) =-26688a(22) =35541a(23) =-46944a(24) =61692a(25) =-80826a(26) =105366a(27) =-136536a(28) =176208a(29) =-226728