%I A092203
%S A092203 1,1,3,7,21,47,128,303,754,1735,3989,8712,18687,38482,77421,150813,286925,
%T A092203 531306,962637,1704506,2959412,5037606,8426351,13854300,22426944,35759968,
%U A092203 56234440,87258555,133672928,202357724,302932084,448579256,657328445,954056201
%N A092203 Molien series for 16-dimensional group of structure O_{4}^{+}(2) and 
               order 72, corresponding to genus 2 complete weight enumerators of 
               Hermitian self-dual GF(2)-linear codes over GF(4) containing the 
               all-ones vector.
%H A092203 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 A092203 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%F A092203 G.f.: u1/u2 where u1 := f1 + x^56*subs(x=x^(-1), f1);
%F A092203 f1 := 1 + x^3 + 5*x^4 + 18*x^5 + 45*x^6 + 88*x^7 + 196*x^8 + 394*x^9 
               + 804*x^10 + 1512*x^11 + 2702*x^12 + 4529*x^13 + 7218*x^14 + 11019*x^15 
               + 16064*x^16 + 22609*x ^17 + 30555*x^18 + 39889*x^19 + 50303*x^20 
               + 61476*x^21 + 72888*x^22 + 84047*x^23 + 94299*x^24 + 102995*x^25 
               + 109674*x^26 + 113791*x^27 + 57614*x^28;
%F A092203 u2 := (1-x)*(1-x^2)^2*(1-x^3)^3*(1-x^4)^6*(1-x^6)*(1-x^8)^2*(1-x^12).
%Y A092203 Cf. A092201.
%Y A092203 Sequence in context: A119959 A018712 A027151 this_sequence A018760 A050614 
               A036569
%Y A092203 Adjacent sequences: A092200 A092201 A092202 this_sequence A092204 A092205 
               A092206
%K A092203 nonn
%O A092203 0,3
%A A092203 N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2004