A034952 Expansion of eta(16z)^4*eta(4z)^2.

1, -2, -1, 2, -3, 10, 2, -8, -4, -14, 7, 4, 18, -2, -13, 14, 1, 14, -21, -4, -35, -14, 28, -6, 7, 38, 39, -30, 20, -36, -14, 0, 17, 4, -49, 14, -15, -22, -16, 66, -39, -10, 21, 42, 69, 82, -18, -80, -28, -50, 28, -70, -35, 14, 66, -56, 41, -32, 8, 52, -77, 42, 3, 36, 60

Offset

0,2

Comments

Apparently this is the convolution square of A255252. - R. J. Mathar, Feb 22 2021

Links

Table of n, a(n) for n=0..64.

Johann Cigler, Some Pascal-like triangles, 2018.

Ono and Skinner, Fourier coefficients of half-integral weight modular forms modulo l, Ann. Math., 147 (1998), 453-470.

Example

q^3-2*q^7-1*q^11+2*q^15-3*q^19+...

Maple

nmax := 30;
eta := product(1-q^i, i=1..nmax) ; # eta=A010815
g := subs(q=q^4, eta)^4*eta^2 ;
g := taylor(g, q=0, nmax+1) ;
seq( coeftayl(g, q=0, i), i=0..nmax) ; # R. J. Mathar, Feb 22 2021

Crossrefs

Cf. A010815.

Sequence in context: A252889 A155004 A176954 * A378754 A337549 A378755

Adjacent sequences: A034949 A034950 A034951 * A034953 A034954 A034955

Keyword

sign,easy

Author

N. J. A. Sloane.

Extensions

More terms from James A. Sellers, Feb 09 2000

Status

approved