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Search: id:A056946
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| A056946 |
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Coefficients of J(0)*theta_3(z) where J(0) is sequence A056945. |
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+0
2
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| 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
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OFFSET
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0,2
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COMMENT
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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)?
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REFERENCES
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Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.
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FORMULA
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(E_8*E_{4, 1}-60*E_{12, 1})*theta_3(z)
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CROSSREFS
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Cf. A008408, A056945.
Sequence in context: A128983 A066493 A137449 this_sequence A111757 A022896 A100225
Adjacent sequences: A056943 A056944 A056945 this_sequence A056947 A056948 A056949
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KEYWORD
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sign
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AUTHOR
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Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 17 2000
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