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A035118 Fourier coefficients of (normalized Delta)^3. 1

%I

%S 1,-72,2484,-54528,852426,-10055232,92389176,-671302656,3858182955,

%T -17183392736,55424393460,-98492944896,-138398873682,1754429566464,

%U -6543407393352,11399973267456,9872745919317,-120249696817008,328342926322544,-252123333707520

%N Fourier coefficients of (normalized Delta)^3.

%C Normalized Delta generates Ramanujan tau function. The cube is a weight-36 cusp form.

%F G.f.: q^3 * Prod_{n >= 1} (1-q^n)^72.

%e (normalized Delta)^3 = (tau(1)q+tau(2)q^2+ ... )^3 = q^3-72q^4+2484q^5- ....

%t s = q^3 QPochhammer[q]^72 + O[q]^23; Drop[CoefficientList[s, q], 3] (* _Jean-Fran├žois Alcover_, Jul 27 2016 *)

%K sign,easy

%O 3,2

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

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Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)