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A056946 Coefficients of J(0)*theta_3(z) where J(0) is sequence A056945. 1
1, 2, 0, -4, 0, 12, 0, 32728, 196560, 262154, 0, 3734484, 16773120, 18345916, 0, 103029576, 398034000, 376741188, 0, 1334312620, 4629381120, 3937755904, 0, 10792611336, 34417656000, 26962933262, 0, 62783799320, 187489935360, 138065611740, 0, 287105506144, 814879774800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Note a(4n)=A008408(n) gives theta series of Leech lattice. a(4n+2)=0. a(3)<0, apparently the only negative term. What are a(4n+1), a(4n+3)?

REFERENCES

Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

LINKS

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

FORMULA

(E_8*E_{4, 1}-60*E_{12, 1})*theta_3(z)

CROSSREFS

Cf. A008408, A056945.

Sequence in context: A278510 A285773 A137449 * A225740 A111757 A286122

Adjacent sequences:  A056943 A056944 A056945 * A056947 A056948 A056949

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified May 8 23:40 EDT 2021. Contains 343685 sequences. (Running on oeis4.)