A099752 Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2).

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

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: A363109 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