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

0,3

References

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

Links

Table of n, a(n) for n=0..15.

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

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

Crossrefs

Cf. A037147.

Sequence in context: A140909 A282461 A281935 * A045246 A095812 A212239

Adjacent sequences: A037143 A037144 A037145 * A037147 A037148 A037149

Keyword

sign,easy,frac

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Dec 12 2020

Status

approved