OFFSET
-2,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = -2..10000
Maryna S. Viazovska, The sphere packing problem in dimension 8, arXiv preprint arXiv:1603.04246 [math.NT], 2016.
EXAMPLE
Let q = exp(Pi i t).
theta_2(q)^4 = 16*q + 64*q^3 + ... .
theta_3(q)^4 = 1 + 8*q + 24*q^2 + 32*q^3 + ... .
theta_4(q)^4 = 1 - 8*q + 24*q^2 - 32*q^3 + ... .
128 * (theta_3(q)^4 + theta_4(q)^4)/theta_2(q)^8
= q^(-2) + 16 - 132*q^2 + ... .
128 * (theta_4(q)^4 - theta_2(q)^4)/theta_3(q)^8
= 128 - 5120*q + 70656*q^2 - ... .
G.f.: q^(-2) + 144 - 5120*q + 70524*q^2 - 626688*q^3 + 4265600*q^4 - 24164352*q^5 + ... .
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 16 2018
STATUS
approved