A028579 Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.

1, 0, 0, 16, 8, 0, 96, 96, 32, 256, 384, 304, 352, 512, 960, 800, 240, 1280, 2304, 1744, 1520, 2560, 4128, 3104, 896, 3584, 6528, 5152, 4032, 6144, 10560, 7808, 2160, 8960, 14592, 10688, 9128, 12800