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Search: id:A099720
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| A099720 |
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Molien series for complete weight enumerators of Euclidean self-dual codes over the Galois ring GR(4,2). |
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2
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| 1, 1, 1, 3, 9, 9, 19, 45, 145, 260, 604, 1354, 3182, 6298, 13020, 25642, 50388, 92820, 170578, 303424, 533798, 908606, 1530476, 2522074, 4107717, 6553695, 10343897, 16070605, 24706363, 37437245, 56184469, 83316627, 122439255, 177978716, 256574818, 366404272
(list; graph; listen)
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OFFSET
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0,4
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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) + t^72*f(t^-1), u2 := (1-t)*(1-t^3)*(1-t^4)^5*(1-t^6)^4*(1-t^8)^5, and
f(t) = 1+t^3 + t^4 + 4*t^6 + 15*t^7 + 75*t^8 + 101*t^9 + 274*t^10 + 555*t^11 + 1232*t^12 +2187*t^13 + 4122*t^14 + 7245*t^15 + 12514*t^16 + 20155*t^17 + 31998*t^18 + 48747*t^19 + 72408*t^20 + 103925*t^21 +
144878*t^22 + 197573*t^23 + 261102*t^24 + 338155*t^25 + 425254*t^26 + 524445*t^27 + 629888*t^28 + 740973*t^29 + 851614*t^30 + 957155*t^31 + 1053412*t^32 + 1133809*t^33 + 1196064*t^34 + 1233375*t^35 + 1247150/2*t^36.
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CROSSREFS
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Sequence in context: A110759 A063750 A143225 this_sequence A072404 A125824 A038227
Adjacent sequences: A099717 A099718 A099719 this_sequence A099721 A099722 A099723
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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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