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A035190 Fourier coefficients of (normalized Delta)^5. 2

%I #12 Apr 28 2018 03:10:18

%S 1,-120,7020,-266560,7379190,-158562144,2748847640,-39443189760,

%T 476711357265,-4910778324400,43440479153652,-331129448133120,

%U 2173189785854230,-12199334429782080,57636170473930920,-220943909849546752,623388743422483500

%N Fourier coefficients of (normalized Delta)^5.

%C Normalized Delta generates Ramanujan tau function. The 5th power is a weight-60 cusp form.

%H G. C. Greubel, <a href="/A035190/b035190.txt">Table of n, a(n) for n = 5..1000</a>

%F G.f.: q^5 * Prod_{n >= 1} (1-q^n)^120.

%e (normalized Delta)^5 = (tau(1)q+tau(2)q^2+ ... )^5 = q^5-120q^6+ ....

%t s = q^5 QPochhammer[q]^120 + O[q]^22; Drop[CoefficientList[s, q], 5] (* _Jean-François Alcover_, Jul 27 2016 *)

%o (PARI) q='q+O('q^30); Vec(q^5*eta(q)^120) \\ _G. C. Greubel_, Apr 27 2018

%K sign,easy

%O 5,2

%A Barry Brent (barryb(AT)primenet.com)

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Last modified July 30 03:11 EDT 2024. Contains 374734 sequences. (Running on oeis4.)