A004048 - OEIS

%I #14 Jun 14 2024 22:31:09

%S 1,0,756,8736,44226,187488,531468,1314144,3097332,6141408,10968048,

%T 21258720,34038186,53778816,88943400,131804064,184024386,289650816,

%U 387420516,524343456,756139104,992308512

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

%D 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.

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

%H <a href="/index/Gre#groups_modular">Index entries for sequences related to modular groups</a>

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/P14.1.html">Home page for this lattice</a>

%H E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/shad.html">The Shadow Theory of Modular and Unimodular Lattices</a>, J. Number Theory, 73 (1998), 359-389.

%K nonn

%O 0,3

%A _N. J. A. Sloane_