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A099757 Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2). 0
1, 1, 5, 5, 37, 55, 309, 551, 2203, 4244, 13162, 25440, 66070, 124994, 285536, 523098, 1085624, 1921844, 3702554, 6338324, 11505922, 19087926, 33001680, 53187842, 88283749, 138577771, 222176121, 340466203, 529761539, 794259297, 1203988645, 1769515717 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..31.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for Molien series

FORMULA

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.

CROSSREFS

Sequence in context: A269876 A139386 A074947 * A271091 A271289 A271083

Adjacent sequences:  A099754 A099755 A099756 * A099758 A099759 A099760

KEYWORD

nonn

AUTHOR

G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004

STATUS

approved

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Last modified December 5 05:27 EST 2016. Contains 278761 sequences.