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A035190
Fourier coefficients of (normalized Delta)^5.
2
1, -120, 7020, -266560, 7379190, -158562144, 2748847640, -39443189760, 476711357265, -4910778324400, 43440479153652, -331129448133120, 2173189785854230, -12199334429782080, 57636170473930920, -220943909849546752, 623388743422483500
OFFSET
5,2
COMMENTS
Normalized Delta generates Ramanujan tau function. The 5th power is a weight-60 cusp form.
LINKS
FORMULA
G.f.: q^5 * Prod_{n >= 1} (1-q^n)^120.
EXAMPLE
(normalized Delta)^5 = (tau(1)q+tau(2)q^2+ ... )^5 = q^5-120q^6+ ....
MATHEMATICA
s = q^5 QPochhammer[q]^120 + O[q]^22; Drop[CoefficientList[s, q], 5] (* Jean-François Alcover, Jul 27 2016 *)
PROG
(PARI) q='q+O('q^30); Vec(q^5*eta(q)^120) \\ G. C. Greubel, Apr 27 2018
CROSSREFS
Sequence in context: A092710 A177758 A055213 * A240934 A035815 A001785
KEYWORD
sign,easy
AUTHOR
Barry Brent (barryb(AT)primenet.com)
STATUS
approved