login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A004534 Theta series of {D_14}^{+} lattice. 1
1, 0, 0, 0, 364, 0, 0, 8192, 16044, 0, 0, 114688, 200928, 0, 0, 745472, 1089452, 0, 0, 3096576, 4196920, 0, 0, 9691136, 12547808, 0, 0, 25346048, 31553344, 0, 0, 58261504, 70439852, 0, 0, 120553472, 142487436 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

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

Eric Weisstein's World of Mathematics, Jacobi Theta Functions

FORMULA

From Seiichi Manyama, Oct 21 2018: (Start)

Expansion of (theta_2(q)^14 + theta_3(q)^14 + theta_4(q)^14)/2 in powers of q^(1/2).

Expansion of (Sum_{k=-inf..inf} q^((k+1/2)^2))^14 + (Sum_{k=-inf..inf} q^(k^2))^14 + (Sum_{k=-inf..inf} (-1)^k * q^(k^2))^14 in powers of q^(1/2). (End)

CROSSREFS

Cf. A000122 (theta_3(q)), A002448 (theta_4(q), A022045.

Sequence in context: A158309 A098251 A115464 * A256087 A260837 A272359

Adjacent sequences:  A004531 A004532 A004533 * A004535 A004536 A004537

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 January 18 19:37 EST 2022. Contains 350455 sequences. (Running on oeis4.)