A037191 Theta series of lattice A_2 tensor E_7^2+ (dimension 28, min norm 4).

1, 0, 756, 17472, 700812, 13487040, 143699220, 1061439552, 6038839548, 27868766016, 109814205816, 378998996544, 1173180111852, 3325312497024, 8715279904416, 21337957069632, 49450420013148, 108741984430464, 228329201738484, 461698406495424, 899506102392072

Offset

0,3

Links

Table of n, a(n) for n=0..20.

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".

Formula

G.f.: phi_0(z)^14 - 84*phi_0(z)^8*Delta_12(z) + 1008*phi_0(z)^2*Delta_12(z)^2 where phi_0(z) is the theta series of the A_2 lattice given in A004016, and Delta_12 is the 12-dimensional cusp form given in A007332. - Sean A. Irvine, Dec 16 2020

Crossrefs

Sequence in context: A288779 A018898 A004048 * A269191 A269140 A269198

Adjacent sequences: A037188 A037189 A037190 * A037192 A037193 A037194

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Dec 16 2020

Status

approved