login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A014747 Theta series of lattice D20+. 1
1, 0, 760, 0, 77560, 524288, 2508000, 10485760, 34729720, 99614720, 259114704, 608174080, 1327461600, 2739404800, 5341699520, 9921626112, 17701924600, 30592204800, 51294999960, 83277905920, 131880275664 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..2500 from G. C. Greubel)

FORMULA

G.f.: (theta2(q)^20 + theta3(q)^20 + theta4(q)^20)/2.

MATHEMATICA

terms = 21; s = 1/2 (EllipticTheta[2, 0, q]^20 + EllipticTheta[3, 0, q]^20 + EllipticTheta[4, 0, q]^20) + O[q]^terms; CoefficientList[s, q] (* Jean-Fran├žois Alcover, Jul 07 2017 *)

CROSSREFS

Cf. A022051.

Sequence in context: A225022 A034414 A157983 * A258135 A247400 A234892

Adjacent sequences:  A014744 A014745 A014746 * A014748 A014749 A014750

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 11 23:53 EDT 2020. Contains 335654 sequences. (Running on oeis4.)