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A027634
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Poincare (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).
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0
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1, 0, 1, 1, 1, 2, 4, 3, 7, 8, 11, 15, 22, 24, 37, 45, 58, 75, 99, 115, 156, 187, 232, 288, 356, 420, 527, 623, 750, 898, 1075, 1252, 1505, 1750, 2051, 2400, 2797, 3214, 3754, 4294, 4939, 5665, 6477, 7344, 8398, 9481, 10731, 12121, 13653
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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REFERENCES
| B. Runge, On Siegel modular forms II, Nagoya Math. J., 138 (1995), 179-197.
S. Tsuyumine, On Siegel modular forms of degree three, Amer. J. Math., 108 (1986), 755-862 and 1001-1003.
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LINKS
| Index entries for Molien series
Index entries for sequences related to modular groups
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FORMULA
| (1-x^8) times Molien series in A027633. That is, same numerator, but denominator is (1-x^4)*((1-x^12)^2*(1-x^14)*(1-x^18)*(1-x^20)*(1-x^30).
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EXAMPLE
| 1+x^4+x^6+x^8+2*x^10+4*x^12+3*x^14+7*x^16+8*x^18+11*x^20+...
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CROSSREFS
| Sequence in context: A105081 A026167 A127002 * A101267 A177877 A090568
Adjacent sequences: A027631 A027632 A027633 * A027635 A027636 A027637
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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