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A022055 Theta series of D_24 lattice. 3
1, 1104, 170064, 8662720, 195082320, 2319457632, 17231109824, 93703589760, 407488018512, 1487286966928, 4744779429216, 13523760003648, 35250721087168, 84944161233120, 192127452262272, 409984511707776, 834658207381584, 1624411151609760, 3049176879087248, 5521413521657280 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 118.
LINKS
FORMULA
This series is the q-expansion of 11/9 E_4(z)^3 - 2/9 E_6(z)^2. Cf. A004009, A013973. - Daniel D. Briggs, Nov 26 2011
MATHEMATICA
terms = 16; s = 1/2 (EllipticTheta[3, 0, q]^24 + EllipticTheta[4, 0, q]^24) + O[q]^(2 terms); CoefficientList[s, q^2] (* Jean-François Alcover, Jul 07 2017, after LatticeData(D24) *)
CROSSREFS
Sequence in context: A291134 A233563 A127308 * A008688 A107519 A331641
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Seiichi Manyama, Oct 16 2018
STATUS
approved

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Last modified May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)