A037148 Numerators of Fourier coefficients of Eisenstein series of degree 2 and weight 12 when evaluated at Gram(A_2)*z.

1, 0, 196560, 22266840960, 32657336384400, 488671648133760, 53439465983183280, 1517285377810500480, 33146268593842731600, 495735471753920012160, 5599704694679105905440, 50142366540860643504000, 370980488114849951891280, 2338140291564951182050560

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy
• frac

References

• Helmut Klingen, Introductory Lectures on Siegel Modular Forms, p. 123.

Links

• N. J. A. Sloane, Notes on Two-dimensional Theta Series of Lattices (Notes on some joint work with Eric M. Rains), pages 96-115, circa Jun 08 1998, of N. J. A. Sloane's notebook "Lattices Volume 79".
• Index entries for sequences related to Eisenstein series

Crossrefs

Cf. A037149, A037150.

Formula

x^24 - 144*x^18*y + (3480192/691)*x^12*y^2 - (2037901234176/53678953)*x^6*y^3 + (21009383424000/53678953)*y^4, x = phi_0(z), y = Delta_12(z). (see A037150 for definitions and Maple code - N. J. A. Sloane, Dec 12 2020)

Extensions

More terms from Sean A. Irvine, Dec 13 2020