A037212 Theta series of lattice A_2 tensor A_15+ (dimension 30, det 3^15, min. norm 4).

1, 0, 720, 17640, 726570, 17236728, 223847280, 1928224440, 12500672580, 65073916440, 284229347328, 1080456070680, 3650778821970, 11191823745120, 31612753519200, 83017908015624, 204808695842610, 479043914067360, 1065816689968080, 2271147404056200

Offset

0,3

Links

Table of n, a(n) for n=0..19.

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)^15 - 90*phi_0(z)^9*Delta_12(z) + 1260*phi_0(z)^3*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 17 2020

Crossrefs

Cf. A004016, A007332.

Sequence in context: A000920 A052779 A254079 * A228909 A126781 A090008

Adjacent sequences: A037209 A037210 A037211 * A037213 A037214 A037215

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Dec 17 2020

Status

approved