A035118 Fourier coefficients of (normalized Delta)^3.

1, -72, 2484, -54528, 852426, -10055232, 92389176, -671302656, 3858182955, -17183392736, 55424393460, -98492944896, -138398873682, 1754429566464, -6543407393352, 11399973267456, 9872745919317, -120249696817008, 328342926322544, -252123333707520

Offset

3,2

Comments

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

Links

Table of n, a(n) for n=3..22.

Formula

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

Example

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

Mathematica

s = q^3 QPochhammer[q]^72 + O[q]^23; Drop[CoefficientList[s, q], 3] (* Jean-François Alcover, Jul 27 2016 *)

Crossrefs

Sequence in context: A014704 A260582 A377668 * A017788 A035731 A035803

Adjacent sequences: A035115 A035116 A035117 * A035119 A035120 A035121

Keyword

sign,easy

Author

Barry Brent (barryb(AT)primenet.com)

Status

approved