|
| |
|
|
A056946
|
|
Coefficients of J(0)*theta_3(z) where J(0) is sequence A056945.
|
|
1
|
|
|
|
1, 2, 0, -4, 0, 12, 0, 32728, 196560, 262154, 0, 3734484, 16773120, 18345916, 0, 103029576, 398034000, 376741188, 0, 1334312620, 4629381120, 3937755904, 0, 10792611336, 34417656000, 26962933262, 0, 62783799320, 187489935360, 138065611740, 0, 287105506144, 814879774800
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
Note a(4n)=A008408(n) gives theta series of Leech lattice. a(4n+2)=0. a(3)<0, apparently the only negative term. What are a(4n+1), a(4n+3)?
|
|
|
REFERENCES
|
Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.
|
|
|
LINKS
|
Table of n, a(n) for n=0..32.
|
|
|
FORMULA
|
(E_8*E_{4, 1}-60*E_{12, 1})*theta_3(z)
|
|
|
CROSSREFS
|
Cf. A008408, A056945.
Sequence in context: A128983 A066493 A137449 * A111757 A022896 A100225
Adjacent sequences: A056943 A056944 A056945 * A056947 A056948 A056949
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 17 2000
|
|
|
STATUS
|
approved
|
| |
|
|
