A037190 Theta series of lattice A_2 tensor D12+ (dimension 24, min norm 4).

1, 0, 792, 16704, 573480, 6289344, 47367288, 256779072, 1116635400, 4092791616, 12993723216, 37059359040, 96956352072, 232789209984, 526238331840, 1128121363008, 2286165374280, 4451600668032, 8386296787224, 15130668404160, 26614226534832, 45684867221568

Offset

0,3

Links

Table of n, a(n) for n=0..21.

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)^12 - 72*phi_0(z)^6*Delta_12(z) + 576*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: A186057 A027817 A104680 * A209893 A184491 A140909

Adjacent sequences: A037187 A037188 A037189 * A037191 A037192 A037193

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Dec 16 2020

Status

approved