A395006 Theta series of lattice Kappa_21.

1, 0, 26082, 1200864, 18563580, 154224000, 873431160, 3770958240, 13432444326, 41046452160, 111904857288, 276175539360, 632479728468, 1350390968640, 2735388749880, 5258284904544, 9727162297020, 17267081573952, 29779234653770

Offset

0,3

Comments

Theta series lies in the space of modular forms on Gamma_1(24) with Kronecker character 8 in modulus 24, weight 21/2, and dimension 41 over the integers.

Links

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

Andy Huchala, Magma program

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

Formula

G.f. = 1 + 26082*q^4 + 1200864*q^6 + 18563580*q^8 + ...

Crossrefs

Sequence in context: A326931 A385357 A235195 * A235740 A236080 A115494

Adjacent sequences: A395003 A395004 A395005 * A395007 A395008 A395009

Keyword

nonn,more

Author

Andy Huchala, Apr 09 2026

Status

approved