A035190 Fourier coefficients of (normalized Delta)^5.

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

G. C. Greubel, Table of n, a(n) for n = 5..1000

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

Adjacent sequences: A035187 A035188 A035189 * A035191 A035192 A035193

Keyword

sign,easy

Author

Barry Brent (barryb(AT)primenet.com)

Status

approved