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A023916 Theta series of A*_4 lattice. +0
1
1, 0, 10, 20, 0, 20, 0, 60, 50, 0, 30, 0, 60, 120, 0, 60, 0, 160, 70, 0, 60, 0, 120, 220, 0, 120, 0, 200, 180, 0, 40, 0, 210, 240, 0, 180, 0, 360, 200, 0, 150, 0, 120, 420, 0, 140, 0, 460, 220, 0, 130, 0, 360, 520, 0, 240, 0, 400, 300, 0, 180, 0, 320, 420, 0, 360, 0, 660, 480, 0, 120 (list; graph; listen)
OFFSET

0,3

REFERENCES

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..5000

G. Nebe and N. J. A. Sloane, Home page for this lattice

EXAMPLE

1 + 10*q^4 + 20*q^6 + 20*q^10 + 60*q^14 + 50*q^16 + 30*q^20 + 60*q^24 + 120*q^26 + 60*q^30 + 160*q^34 + 70*q^36 + 60*q^40 + 120*q^44 + 220*q^46 + 120*q^50 + 200*q^54 + 180*q^56 + 40*q^60 + O(q^62)

PROGRAM

(MAGMA) L:=Lattice("A", 4); D:=Dual(L); T1<q> := ThetaSeries(D, 60);

CROSSREFS

Sequence in context: A110368 A006050 A045646 this_sequence A107859 A067524 A069555

Adjacent sequences: A023913 A023914 A023915 this_sequence A023917 A023918 A023919

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from N. J. A. Sloane (njas(AT)research.att.com), Dec 24 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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