|
Search: id:A004535
|
|
|
| A004535 |
|
Theta series of 14-dimensional unimodular lattice (E7+E7)+. |
|
+0
2
|
|
| 1, 0, 252, 3136, 17388, 64512, 194656, 501120, 1101996, 2193408, 4195800, 7551936, 12508384, 19934208, 31616064, 48487040, 70404012, 99735552, 142513308, 200515392, 268608312, 353783808, 475911072
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24, Mathematika, 25 (1978), 36-43.
|
|
LINKS
|
N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
G. Nebe and N. J. A. Sloane, Home page for this lattice
|
|
FORMULA
|
(theta3^7 + 7*theta3^3*theta2^4)^2 + (theta2^7 + 7*theta2^3*theta3^4)^2.
|
|
EXAMPLE
|
1+252q^2+3136q^3+...
|
|
CROSSREFS
|
Sequence in context: A104679 A117281 A152466 this_sequence A027815 A099059 A151610
Adjacent sequences: A004532 A004533 A004534 this_sequence A004536 A004537 A004538
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
