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A056949 J(1)*theta3(z) where J(1) is the series given by A056948. 2
1, 2, 0, -2, 24, 52, 0, 32556, 195984, 261626, 0, 3736682, 16779168, 18348900, 0, 103018596, 397998672, 376729140, 0, 1334328534, 4629497040, 3937811168, 0, 10792678852, 34417510848, 26962705262, 0, 62783490188, 187489533504, 138066125924, 0, 287105737648, 814881802320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(4n) gives the series A056948(n). It seems only a(3) is negative. What are a(4n+1), a(4n+3)?

REFERENCES

Eichler and Zagier, The Theory of Jacobi form, Birkhauser, 1985

LINKS

Table of n, a(n) for n=0..32.

FORMULA

(E_8*E_{4, 1}-56*E_{12, 1})*theta_3(z)

CROSSREFS

Cf. A056947, A056948.

Sequence in context: A077183 A101030 A093857 * A281326 A012622 A013370

Adjacent sequences:  A056946 A056947 A056948 * A056950 A056951 A056952

KEYWORD

sign

AUTHOR

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 17 2000

STATUS

approved

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Last modified February 25 08:33 EST 2021. Contains 341606 sequences. (Running on oeis4.)