A035150 Fourier coefficients of (normalized Delta)^4.

1, -96, 4464, -133760, 2897880, -48264768, 641207744, -6954435840, 62452035180, -467536231520, 2916146241888, -14993052561792, 61695767581248, -187599812159040, 302907998183040, 676931170946304, -7255673126427378, 28908305661771648

Offset

4,2

Comments

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

Links

G. C. Greubel, Table of n, a(n) for n = 4..1000

Formula

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

Example

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

Mathematica

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

Prog

(PARI) q='q+O('q^30); Vec(q^4*eta(q)^96) \\ G. C. Greubel, Apr 25 2018

Crossrefs

Cf. A035118, A035190.

Sequence in context: A229458 A285171 A239182 * A268871 A017812 A035743

Adjacent sequences: A035147 A035148 A035149 * A035151 A035152 A035153

Keyword

sign,easy

Author

Barry Brent (barryb(AT)primenet.com)

Status

approved