A027824 If there were a unimodular 25-dimensional lattice with minimal norm 3, it would have this as its theta series. Unfortunately, no such lattice exists.

1, 0, 0, 3600, 101250, 1308960, 10627200, 62596800, 290984400, 1127417600, 3784631040, 11325193200, 30820816800, 77376189600, 181349280000, 400953775680, 842626285650, 1692061228800, 3263458752000

Offset

0,4

Links

Table of n, a(n) for n=0..18.

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

Example

1+3600*q^3+101250*q^4+...

Crossrefs

Sequence in context: A306492 A364990 A250439 * A201771 A068291 A003838

Adjacent sequences: A027821 A027822 A027823 * A027825 A027826 A027827

Keyword

nonn

Author

N. J. A. Sloane, E. M. Rains

Status

approved