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A103936 Theta series of Barnes-Wall lattice in 64 dimensions. +0
1
1, 0, 0, 0, 9694080, 0, 89754255360, 10164979630080, 639876527832960, 24647440237854720, 646038471835975680, 12399979575839293440, 184026095698230213120, 2200347840694273966080, 21889196776341251850240, 185813171532073386639360, 1373979253438910041038720 (list; graph; listen)
OFFSET

0,5

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.

LINKS

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: A162030 A124515 A075009 this_sequence A147713 A123322 A147575

Adjacent sequences: A103933 A103934 A103935 this_sequence A103937 A103938 A103939

KEYWORD

nonn

AUTHOR

Eric Rains and N. J. A. Sloane (njas(AT)research.att.com), Sep 27 2005

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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