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A099752 Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2). 0
1, 2, 8, 32, 119, 438, 1483, 4463, 12121, 30047, 68783, 147178, 297234, 570865, 1049605, 1857388, 3177426, 5274519, 8523168, 13442921, 20742950, 31376270, 46605818, 68084760, 97952005, 138945430, 194536354, 269086136, 368028405, 498081190, 667490215, 886307575 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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^4), u2 := (1-t^4)^2*(1-t^8)^3*(1-t^12)^3*(1-t^20)^2 and

f(t) = 1 + 2*t^2 + 15*t^3 + 51*t^4 + 170*t^5 + 500*t^6 + 1136*t^7 + 2126*t^8 + 3439*t^9 + 4822*t^10 + 5908*t^11 + 6473*t^12 + 6325*t^13 + 5437*t^14 + 4124*t^15 + 2764*t^16 + 1596*t^17 + 764*t^18 + 305*t^19 + 95*t^20 + 20*t^21 + 5*t^22 + 2*t^23.

CROSSREFS

Sequence in context: A145682 A289451 A230509 * A230393 A230529 A282879

Adjacent sequences:  A099749 A099750 A099751 * A099753 A099754 A099755

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 30 05:03 EDT 2020. Contains 337435 sequences. (Running on oeis4.)