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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A103936 Theta series of Barnes-Wall lattice in 64 dimensions. 0
1, 0, 0, 0, 9694080, 0, 89754255360, 10164979630080, 639876527832960, 24647440237854720, 646038471835975680, 12399979575839293440, 184026095698230213120, 2200347840694273966080, 21889196776341251850240, 185813171532073386639360, 1373979253438910041038720 (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.

LINKS

Table of n, a(n) for n=0..16.

Index entries for sequences related to Barnes-Wall lattices

EXAMPLE

1+9694080*q^8+89754255360*q^12+10164979630080*q^14+639876527832960*q^16+

24647440237854720*q^18+646038471835975680*q^20+12399979575839293440*q^22+

184026095698230213120*q^24+2200347840694273966080*q^26+21889196776341251850240*q^28+

185813171532073386639360*q^30+1373979253438910041038720*q^32+

8998373669092683059036160*q^34+52930789703078794637475840*q^36+

282884460049422917440634880*q^38+O(q^40);

In terms of H1 = \theta_{D4} and H2 = (\eta(q)\eta(q^2))^8:

H1^16-384*H1^12*H2+38016*H1^8*H2^2-743424*H1^4*H2^3+9732096*H2^4.

CROSSREFS

Sequence in context: A250518 A268252 A251504 * A147713 A123322 A258363

Adjacent sequences:  A103933 A103934 A103935 * A103937 A103938 A103939

KEYWORD

nonn

AUTHOR

Eric Rains and N. J. A. Sloane, Sep 27 2005

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 June 17 06:06 EDT 2019. Contains 324183 sequences. (Running on oeis4.)