|
|
A290403
|
|
Expansion of 256/(lambda(z)*(1 - lambda(z)))^2 in powers of nome q = exp(Pi*i*z) where lambda(z) is the elliptic modular function (A115977).
|
|
2
|
|
|
1, 48, 1128, 17344, 196884, 1766496, 13105152, 83077248, 461646786, 2295171024, 10380853248, 43297436352, 168383270616, 616088091552, 2136382808064, 7063702309504, 22381414626687, 68246605486224, 200988391505920, 573443411403648, 1589242581740388
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
-2,2
|
|
LINKS
|
|
|
FORMULA
|
Expansion of (eta(q^2)^2 / (eta(q) * eta(q^4)))^48 in powers of q.
|
|
MATHEMATICA
|
nmax = 20; CoefficientList[Series[Product[(1 + x^(2*k-1))^48, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 30 2017 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|