login
This site is supported by donations to The OEIS Foundation.

 

Logo

Invitation: celebrating 50 years of OEIS, 250000 sequences, and Sloane's 75th, there will be a conference at DIMACS, Rutgers, Oct 9-10 2014.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 0
1, 6, 370, 25941, 766167, 12111089, 124259069, 930574233, 5484818300, 26776879826, 112280445305, 415327028116, 1382930259679, 4210626581064, 11869191180654, 31287023072875, 77754009678155, 183413881787587, 412999556427123, 891974451978733, 1855294967497534 (list; graph; refs; listen; history; text; internal format)
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: A173608 A042759 A188954 * A158041 A233212 A245398

Adjacent sequences:  A099592 A099593 A099594 * A099596 A099597 A099598

KEYWORD

nonn

AUTHOR

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified August 27 11:15 EDT 2014. Contains 246134 sequences.