Search: id:A099750
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%I A099750
%S A099750 1,3,22,346,5100,53504,411041,2471091,12244665,51924492,193733585,649448814,
%T A099750 1988025385,5628317525,14888914321,37110706136,87756490312,198017040530,
%U A099750 428428858514,892492579595,1796484842799,3504861873102,6645228329464,12273264853180
%N A099750 Molien series for complete weight enumerators of doubly-even Euclidean 
               self-dual codes over the Galois ring GR(4,2).
%H A099750 G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.att.com/
               ~njas/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, 
               Springer, Berlin, 2006.
%H A099750 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%F A099750 G.f.: u1/u2 where u1 := f(t^4) + t^156*f(t^-4), u2 := (1-t^4)^3*(1-t^8)^5*(1-t^12)^5*(1-t^20)^3 
               and
%F A099750 f(t) = 1 + 11*t^2 + 283*t^3 + 4055*t^4 + 37722*t^5 + 243578*t^6 + 1179852*t^7 
               + 4535052*t^8 + 14380814*t^9 + 38708195*t^10 + 90379766*t^11 + 186147868*t^12 
               + 342605290*t^13 +
%F A099750 569177435*t^14 + 860160090*t^15+ 1189401593*t^16+ 1511365669*t^17+ 1770220838*t^18+ 
               1914917488*t^19.
%Y A099750 Sequence in context: A102223 A046947 A002485 this_sequence A156512 A119770 
               A153230
%Y A099750 Adjacent sequences: A099747 A099748 A099749 this_sequence A099751 A099752 
               A099753
%K A099750 nonn
%O A099750 0,2
%A A099750 G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004

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