|
|
A289332
|
|
Coefficients of (q*(j(q)-1728))^(1/6) where j(q) is the elliptic modular invariant.
|
|
13
|
|
|
1, -164, -34426, -9943880, -3522075375, -1378091288700, -572783373894746, -247966590624315128, -110550043138808626860, -50393645499572805001180, -23374903983625804137812564, -10995211137216964385513242408
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: Product_{k>=1} (1-q^k)^(A289061(k)/6).
a(n) ~ c * exp(2*Pi*n) / n^(4/3), where c = -2^(1/3) * Pi^(1/3) * exp(-Pi/3) / (3^(1/3) * Gamma(2/3) * Gamma(3/4)^(4/3)) = -0.252847812633789641246665071437... - Vaclav Kotesovec, Mar 07 2018
|
|
MATHEMATICA
|
CoefficientList[Series[((256/QPochhammer[-1, x]^8 + x*QPochhammer[-1, x]^16/256)^3 - 1728*x)^(1/6), {x, 0, 20}], x] (* Vaclav Kotesovec, Mar 07 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|