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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-François Alcover, Jul 07 2017 *)
CROSSREFS
Cf. A022051.
Sequence in context: A225022 A034414 A157983 * A258135 A247400 A234892
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified April 17 13:58 EDT 2024. Contains 371764 sequences. (Running on oeis4.)