A037146 Numerators of Fourier coefficients of Eisenstein series of degree 2 and weight 10 when evaluated at Gram(A_2)*z.

1, 0, -792, 227244864, -9944907192, 919209728448, 34981193422296, 642291149636928, 8088505738922664, 75871526303850816, 561429626003520912, 3435029183941210944, 17943112657234300008, 82098865517562748800, 335623489808760863424, 1245022670592143885376

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• 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. A037147.

Formula

G.f.: x^20 - 120*x^14*y + 1728*x^8*y^2 + (1330587648/43867)*x^2*y^3 where x = phi_0(z) and y = Delta_12(z). See A037150 for definitions of these quantities. - N. J. A. Sloane, Dec 12 2020

Extensions

More terms from Sean A. Irvine, Dec 12 2020