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

0,5

Links

Table of n, a(n) for n=0..45.

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

Example

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)

Crossrefs

Cf. A024186, A001309.

Sequence in context: A083130 A083129 A365090 * A277252 A241415 A323357

Adjacent sequences: A110157 A110158 A110159 * A110161 A110162 A110163

Keyword

nonn

Author

G. Nebe, Sep 21 2005

Status

approved