A004048 Theta series of 14-dimensional extremal 3-modular lattice with det 3^7, minimal norm 4, group 2 X G_2(3).

1, 0, 756, 8736, 44226, 187488, 531468, 1314144, 3097332, 6141408, 10968048, 21258720, 34038186, 53778816, 88943400, 131804064, 184024386, 289650816, 387420516, 524343456, 756139104, 992308512

Offset

0,3

References

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. 60.

Nebe and Plesken, Finite Rational Matrix Groups, p. 34.

Links

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

Index entries for sequences related to modular groups

G. Nebe and N. J. A. Sloane, Home page for this lattice

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

Crossrefs

Sequence in context: A339797 A288779 A018898 * A037191 A269191 A269140

Adjacent sequences: A004045 A004046 A004047 * A004049 A004050 A004051

Keyword

nonn

Author

N. J. A. Sloane

Status

approved