A110160 Expansion of Molien series for 16-dimensional real Clifford group C_4 of genus 4 and order 178362777600.

1, 1, 1, 1, 2, 2, 3, 4, 7, 9, 14, 19, 33, 45, 69, 100, 159, 228, 355, 526, 815, 1215, 1861, 2777, 4240, 6318, 9508, 14107, 21034, 30927, 45564, 66382, 96585, 139194, 200003, 284914, 404367, 569372, 798097, 1110803, 1538672, 2117206, 2899191, 3945647, 5343821, 7196118

Offset: 0

Author

G. Nebe, Sep 21 2005

Keywords

• nonn

Examples

			The Molien series begins
1 + t^2 + t^4 + t^6 + 2*t^8 + 2*t^10 + 3*t^12 + 4*t^14 + 7*t^16 + 9*t^18 +
14*t^20 + 19*t^22 + 33*t^24 + 45*t^26 + 69*t^28 + 100*t^30 + 159*t^32 +
228*t^34 + 355*t^36 + 526*t^38 + 815*t^40 + 1215*t^42 + 1861*t^44 +
2777*t^46 + 4240*t^48 + 6318*t^50 + 9508*t^52 + 14107*t^54 + 21034*t^56 +
30927*t^58 + 45564*t^60 + 66382*t^62 + 96585*t^64 + 139194*t^66 +
200003*t^68 + 284914*t^70 + 404367*t^72 + 569372*t^74 + 798097*t^76 +
1110803*t^78 + 1538672*t^80 + 2117206*t^82 + 2899191*t^84 + 3945647*t^86 +
5343821*t^88 + 7196118*t^90 + 9644509*t^92 + 12856864*t^94 + 17060650*t^96 +
22525587*t^98 + O(t^100)
		

Links

• G. Nebe, The full Molien series
• G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
• Index entries for Molien series

Crossrefs

Cf. A024186, A001309.