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A027672 Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200. +0
5
1, 0, 1, 1, 2, 3, 7, 7, 19, 27, 52, 87, 172, 279, 550, 960, 1782, 3183, 5845, 10288, 18508, 32284, 56345, 96473, 164157, 274194, 454518, 741321, 1196924, 1906123, 3003750, 4673470, 7198311, 10959836, 16523847, 24654860, 36447873, 53369530 (list; graph; listen)
OFFSET

0,5

REFERENCES

M. Oura (ohura(AT)math.kyushu-u.ac.jp), The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.

B. Runge, On Siegel modular forms II, Nagoya Math. J., 138 (1995), 179-197.

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for Molien series

Index entries for sequences related to modular groups

FORMULA

Oura gives an explicit formula for the Molien series.

EXAMPLE

1+x^8+x^12+2*x^16+3*x^20+7*x^24+7*x^28+19*x^32+27*x^36+O(x^40).

CROSSREFS

Cf. A027633, A027638, A051354.

Sequence in context: A011372 A104955 A011161 this_sequence A104138 A083809 A092967

Adjacent sequences: A027669 A027670 A027671 this_sequence A027673 A027674 A027675

KEYWORD

nonn,nice,easy

AUTHOR

njas

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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