Expansion of Product_{i>=1, j>=1} theta_3(x^(i*j)), where theta_3() is the Jacobi theta function.

Terms

a(0) =1a(1) =2a(2) =4a(3) =12a(4) =20a(5) =40a(6) =84a(7) =140a(8) =252a(9) =456a(10) =752a(11) =1260a(12) =2128a(13) =3392a(14) =5436a(15) =8760a(16) =13582a(17) =21092a(18) =32744a(19) =49620a(20) =75104a(21) =113448a(22) =168508a(23) =249620a(24) =368840a(25) =538412a(26) =783480a(27) =1136652a(28) =1634000a(29) =2341280