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Search: id:A092203
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| A092203 |
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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. |
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+0
2
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| 1, 1, 3, 7, 21, 47, 128, 303, 754, 1735, 3989, 8712, 18687, 38482, 77421, 150813, 286925, 531306, 962637, 1704506, 2959412, 5037606, 8426351, 13854300, 22426944, 35759968, 56234440, 87258555, 133672928, 202357724, 302932084, 448579256, 657328445, 954056201
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
Index entries for Molien series
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FORMULA
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G.f.: u1/u2 where u1 := f1 + x^56*subs(x=x^(-1), f1);
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;
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).
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CROSSREFS
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Cf. A092201.
Adjacent sequences: A092200 A092201 A092202 this_sequence A092204 A092205 A092206
Sequence in context: A119959 A018712 A027151 this_sequence A018760 A050614 A036569
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2004
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