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A099750
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Molien series for complete weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2).
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0
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1, 3, 22, 346, 5100, 53504, 411041, 2471091, 12244665, 51924492, 193733585, 649448814, 1988025385, 5628317525, 14888914321, 37110706136, 87756490312, 198017040530, 428428858514, 892492579595, 1796484842799, 3504861873102, 6645228329464, 12273264853180
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| 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
| G.f.: u1/u2 where u1 := f(t^4) + t^156*f(t^-4), u2 := (1-t^4)^3*(1-t^8)^5*(1-t^12)^5*(1-t^20)^3 and
f(t) = 1 + 11*t^2 + 283*t^3 + 4055*t^4 + 37722*t^5 + 243578*t^6 + 1179852*t^7 + 4535052*t^8 + 14380814*t^9 + 38708195*t^10 + 90379766*t^11 + 186147868*t^12 + 342605290*t^13 +
569177435*t^14 + 860160090*t^15+ 1189401593*t^16+ 1511365669*t^17+ 1770220838*t^18+ 1914917488*t^19.
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CROSSREFS
| Sequence in context: A046947 A002485 A193193 * A196734 A156512 A119770
Adjacent sequences: A099747 A099748 A099749 * A099751 A099752 A099753
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KEYWORD
| nonn
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AUTHOR
| G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
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