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A035118
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Fourier coefficients of (normalized Delta)^3.
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1
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1, -72, 2484, -54528, 852426, -10055232, 92389176, -671302656, 3858182955, -17183392736, 55424393460, -98492944896, -138398873682, 1754429566464, -6543407393352, 11399973267456, 9872745919317, -120249696817008, 328342926322544, -252123333707520
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OFFSET
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3,2
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COMMENTS
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Normalized Delta generates Ramanujan tau function. The cube is a weight-36 cusp form.
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LINKS
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FORMULA
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G.f.: q^3 * Prod_{n >= 1} (1-q^n)^72.
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EXAMPLE
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(normalized Delta)^3 = (tau(1)q+tau(2)q^2+ ... )^3 = q^3-72q^4+2484q^5- ....
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MATHEMATICA
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s = q^3 QPochhammer[q]^72 + O[q]^23; Drop[CoefficientList[s, q], 3] (* Jean-François Alcover, Jul 27 2016 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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Barry Brent (barryb(AT)primenet.com)
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STATUS
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approved
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