login
This site is supported by donations to The OEIS Foundation.

 

Logo


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-Fran├žois Alcover, Jul 07 2017, after LatticeData(D24) *)

CROSSREFS

Sequence in context: A291134 A233563 A127308 * A008688 A107519 A168629

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 14 07:13 EST 2019. Contains 329111 sequences. (Running on oeis4.)