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Expansion of Molien series for 16-dimensional real Clifford group C_4 of genus 4 and order 178362777600.
3

%I #9 Oct 04 2012 10:28:57

%S 1,1,1,1,2,2,3,4,7,9,14,19,33,45,69,100,159,228,355,526,815,1215,1861,

%T 2777,4240,6318,9508,14107,21034,30927,45564,66382,96585,139194,

%U 200003,284914,404367,569372,798097,1110803,1538672,2117206,2899191,3945647,5343821,7196118

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

%H G. Nebe, <a href="/A110160/a110160.txt">The full Molien series</a>

%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

%H <a href="/index/Mo#Molien">Index entries for Molien series</a>

%e The Molien series begins

%e 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 +

%e 14*t^20 + 19*t^22 + 33*t^24 + 45*t^26 + 69*t^28 + 100*t^30 + 159*t^32 +

%e 228*t^34 + 355*t^36 + 526*t^38 + 815*t^40 + 1215*t^42 + 1861*t^44 +

%e 2777*t^46 + 4240*t^48 + 6318*t^50 + 9508*t^52 + 14107*t^54 + 21034*t^56 +

%e 30927*t^58 + 45564*t^60 + 66382*t^62 + 96585*t^64 + 139194*t^66 +

%e 200003*t^68 + 284914*t^70 + 404367*t^72 + 569372*t^74 + 798097*t^76 +

%e 1110803*t^78 + 1538672*t^80 + 2117206*t^82 + 2899191*t^84 + 3945647*t^86 +

%e 5343821*t^88 + 7196118*t^90 + 9644509*t^92 + 12856864*t^94 + 17060650*t^96 +

%e 22525587*t^98 + O(t^100)

%Y Cf. A024186, A001309.

%K nonn

%O 0,5

%A G. Nebe, Sep 21 2005