The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Seiichi Manyama, Table of n, a(n) for n = 0..1000 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 Adjacent sequences: A022052 A022053 A022054 * A022056 A022057 A022058 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Seiichi Manyama, Oct 16 2018 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.

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