A002272 - OEIS

A002272

Theta series of 32-dimensional Quebbemann lattice Q_32.

1, 0, 0, 261120, 18947520, 535818240, 8320327680, 83347937280, 622558664640, 3614759362560, 17694184734720, 73337844372480, 272615629589760, 898646461378560, 2752654757806080, 7687895624386560

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..15.

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, arXiv:math/0509316 [math.NT], 2005-2006.

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

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

H.-G. Quebbemann, Lattices with theta-functions for G(sqrt(2)) and linear codes, J. Algebra, 105 (1987), 443-450.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

FORMULA

G.f.: b(x)^8 - 192*b(x)^4*d(x) + 576*d(x)^2 where b(x) is the g.f. of A004011 and d(x) is the g.f. of A002288. - Sean A. Irvine, Jul 26 2020

CROSSREFS

Sequence in context: A146897 A249836 A226111 * A172850 A066914 A013694

Adjacent sequences: A002269 A002270 A002271 * A002273 A002274 A002275

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved