A037190 - OEIS

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

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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