A159584 - OEIS

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A159584

Coefficients in expansion of eta(2z)^3*eta(6z)^3/theta(3z).

1, 0, -3, -2, 0, 6, 6, 0, -3, -12, 0, 6, 0, 0, -6, 4, 0, 0, 6, 0, 0, 12, 0, -12, 1, 0, 9, -12, 0, -12, -30, 0, 12, 24, 0, 6, 0, 0, 24, 24, 0, -12, -18, 0, 0, -24, 0, -12, -23, 0, 6, 0, 0, -18, 48, 0, -12, 36, 0, 12, 0, 0, -18

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OFFSET

1,3

COMMENTS

Expansion of eta(q^2)^3*eta(q^3)^2*eta(q^12)^2/eta(q^6)^2 in powers of q.

Unique cusp form of weight 5/2, level 12 and trivial character.

LINKS

Table of n, a(n) for n=1..63.

G. Shimura, On modular forms of half integral weight, Annals of Math. 97 (1973) 440-481.

EXAMPLE

q - 3*q^3 - 2*q^4 + 6*q^6 + 6*q^7 - 3*q^9 - 12*q^10 + ...

PROG