login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A055379 16*a(n) gives theta series of the shadow of the 24-dimensional odd Leech lattice. 1
3, 12216, 1049332, 24866496, 289421466, 2150562080, 11720932296, 50917793280, 186017041471, 592764490128, 1691223619836, 4404312868096, 10623285300642, 24004367672640, 51272935258008, 104280162643968, 203151521341206 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
LINKS
G. Nebe and N. J. A. Sloane, Home page for odd Leech lattice
E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.
FORMULA
G.f.: (1/16)*( theta2(z)^24 + 3*theta4(2*z)^8 * theta2(z)^16 + (3/16)*theta4(2*z)^16 * theta2(z)^8 ).
MATHEMATICA
CoefficientList[Series[(EllipticTheta[2, 0, q^(1/2)]^24 + 3*EllipticTheta[2, 0, q^(1/2)]^16*EllipticTheta[4, 0, q]^8 + (3/16)*EllipticTheta[2, 0, q^(1/2)]^8*EllipticTheta[4, 0, q]^16)/16, {q, 0, 30}], q] (* G. C. Greubel, Mar 15 2022 *)
CROSSREFS
Cf. A027859.
Sequence in context: A280655 A262651 A309246 * A047777 A195834 A124393
KEYWORD
nonn
AUTHOR
Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 22 2000
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)