A099595 - OEIS

A099595

Molien series for complete weight enumerators of Euclidean self-dual doubly-even codes over the Galois ring GR(4,2) that contain the all-ones vector.

1, 6, 370, 25941, 766167, 12111089, 124259069, 930574233, 5484818300, 26776879826, 112280445305, 415327028116, 1382930259679, 4210626581064, 11869191180654, 31287023072875, 77754009678155, 183413881787587, 412999556427123, 891974451978733, 1855294967497534

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

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^8) + t^320*f(t^-8), u2 := ((t^8-1)^4*(t^16-1)^4*(t^24-1)^5*(t^40-1)^3) and

f := 1 + 2*t + 348*t^2 + 24480*t^3 + 663188*t^4 + 9100890*t^5 + 77529608*t^6 + 463193328*t^7 + 2097567377*t^8 + 7588564500*t^9 + 22768177018*t^10 + 58238217746*t^11 + 129682589691*t^12 +

255463425888*t^13 + 450744907318*t^14 + 719144650774*t^15 + 1044999703594*t^16+ 1390473277756*t^17 + 1700743431532*t^18 + 1917273923644*t^19 + 1995079651434/2*t^20;

CROSSREFS

Sequence in context: A332136 A248384 A355752 * A158041 A233212 A270558

Adjacent sequences: A099592 A099593 A099594 * A099596 A099597 A099598

KEYWORD

nonn

AUTHOR

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

STATUS

approved