A035037 Fourier coefficients of E_{gamma,2}^2*E_{0,4}.

1, 32, -32, -3712, 33248, -154176, 519808, -1515776, 3961312, -9076576, 18733632, -36644736, 68028032, -118068032, 196600064, -321854208, 509407712, -771903936, 1144487776, -1683935360, 2427663936, -3391425536, 4658284416, -6406755072

Offset

0,2

Comments

E_{gamma,2}^2*E_{0,4} is the unique normalized weight-8 modular form for Gamma_0(2) with simple zeros at gamma = -1/2+i/2 and 0.

Links

Table of n, a(n) for n=0..23.

B. Brent, Quadratic Minima and Modular Forms, Experimental Mathematics, v.7 no.3, 257-274. Or also in Project Euclid.

Formula

Convolution product of A004011 and A035036. - Sean A. Irvine, Sep 23 2020

Example

E_{gamma,2}^2*E_{0,4} = 1 + 32*q - 32*q^2 + ....

Crossrefs

Sequence in context: A248767 A022366 A165853 * A070618 A070625 A115421

Adjacent sequences: A035034 A035035 A035036 * A035038 A035039 A035040

Keyword

sign

Author

Barry Brent (barryb(AT)primenet.com)

Status

approved