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A035150 Fourier coefficients of (normalized Delta)^4. 1

%I #15 Apr 25 2018 08:34:30

%S 1,-96,4464,-133760,2897880,-48264768,641207744,-6954435840,

%T 62452035180,-467536231520,2916146241888,-14993052561792,

%U 61695767581248,-187599812159040,302907998183040,676931170946304,-7255673126427378,28908305661771648

%N Fourier coefficients of (normalized Delta)^4.

%C Normalized Delta generates Ramanujan tau function. The 4th power is a weight-48 cusp form.

%H G. C. Greubel, <a href="/A035150/b035150.txt">Table of n, a(n) for n = 4..1000</a>

%F G.f.: q^4 * Product_{n >= 1} (1 - q^n)^96.

%e (normalized Delta)^4 = (tau(1)q+tau(2)q^2+ ... )^4 = q^4-96q^5+4464q^6- ....

%t s = q^4 QPochhammer[q]^96 + O[q]^22; Drop[CoefficientList[s, q], 4] (* _Jean-François Alcover_, Jul 27 2016 *)

%o (PARI) q='q+O('q^30); Vec(q^4*eta(q)^96) \\ _G. C. Greubel_, Apr 25 2018

%Y Cf. A035118, A035190.

%K sign,easy

%O 4,2

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

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Last modified July 26 14:44 EDT 2024. Contains 374635 sequences. (Running on oeis4.)