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Search: id:A099752
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| A099752 |
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Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2). |
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1
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| 1, 2, 8, 32, 119, 438, 1483, 4463, 12121, 30047, 68783, 147178, 297234, 570865, 1049605, 1857388, 3177426, 5274519, 8523168, 13442921, 20742950, 31376270, 46605818, 68084760, 97952005, 138945430, 194536354, 269086136, 368028405, 498081190, 667490215, 886307575
(list; graph; listen)
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OFFSET
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0,2
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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 := f(t^4), u2 := (1-t^4)^2*(1-t^8)^3*(1-t^12)^3*(1-t^20)^2, and
f(t) = 1 + 2*t^2 + 15*t^3 + 51*t^4 + 170*t^5 + 500*t^6 + 1136*t^7 + 2126*t^8 + 3439*t^9 + 4822*t^10 + 5908*t^11 + 6473*t^12 + 6325*t^13 + 5437*t^14 + 4124*t^15 + 2764*t^16 + 1596*t^17 + 764*t^18 + 305*t^19 + 95*t^20 + 20*t^21 + 5*t^22 + 2*t^23.
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CROSSREFS
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Sequence in context: A134753 A052481 A067897 this_sequence A009117 A081294 A004171
Adjacent sequences: A099749 A099750 A099751 this_sequence A099753 A099754 A099755
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KEYWORD
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nonn
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AUTHOR
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G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
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