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A037191 Theta series of lattice A_2 tensor E_7^2+ (dimension 28, min norm 4). 0
1, 0, 756, 17472, 700812, 13487040, 143699220, 1061439552, 6038839548, 27868766016, 109814205816, 378998996544, 1173180111852, 3325312497024, 8715279904416, 21337957069632, 49450420013148, 108741984430464, 228329201738484, 461698406495424, 899506102392072 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 6 09:45 EDT 2021. Contains 343580 sequences. (Running on oeis4.)