|
| |
|
|
A023917
|
|
Theta series of A*_5 lattice.
|
|
2
| |
|
|
1, 0, 0, 0, 0, 12, 0, 0, 30, 20, 0, 0, 30, 0, 0, 0, 0, 120, 0, 0, 132, 60, 0, 0, 90, 0, 0, 0, 0, 180, 0, 0, 270, 180, 0, 0, 140, 0, 0, 0, 0, 480, 0, 0, 420, 132, 0, 0, 270, 0, 0, 0, 0, 420, 0, 0, 600, 420, 0, 0, 360, 0, 0, 0, 0, 960, 0, 0, 840, 360, 0, 0, 330, 0, 0, 0, 0
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,6
|
|
|
COMMENTS
| Expansion of Ahlgren's F_6(q^2).
|
|
|
REFERENCES
| S. Ahlgren, The sixth, eighth, ninth and tenth powers of Ramanujan's theta function. Proc. Amer. Math. Soc. 128 (2000), 1333-1338.
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.
|
|
|
LINKS
| John Cannon, Table of n, a(n) for n = 0..10000
G. Nebe and N. J. A. Sloane, Home page for this lattice
|
|
|
EXAMPLE
| 1 + 12*q^5 + 30*q^8 + 20*q^9 + 30*q^12 + 120*q^17 + 132*q^20 + 60*q^21 + 90*q^24 + 180*q^29 + 270*q^32 + 180*q^33 + 140*q^36 + 480*q^41 + 420*q^44 + 132*q^45 + 270*q^48 + 420*q^53 + 600*q^56 + 420*q^57 + 360*q^60 + O(q^61)
|
|
|
PROG
| (MAGMA) L:=Lattice("A", 5); D:=Dual(L); T1<q> := ThetaSeries(D, 120);
|
|
|
CROSSREFS
| Sequence in context: A104203 A004012 A072837 * A064141 A156401 A199542
Adjacent sequences: A023914 A023915 A023916 * A023918 A023919 A023920
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
