A099748 - OEIS

A099748

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

1, 2, 21, 225, 3328, 33518, 257909, 1544907, 7657779, 32454761, 121100938, 405911691, 1242567609, 3517715389, 9305703095, 23194232130, 54848107788, 123760738779, 267768667311, 557808040826, 1122804257019, 2190539008704, 4153269969884, 7670791137960

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

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) + t^156*f(t^-4), u2 := (1-t^4)^2*(1-t^8)^5*(1-t^12)^5*(1-t^16)^4 and

f(t) = 1 + 13*t^2 + 180*t^3 + 2815*t^4 + 26097*t^5 + 178909*t^6 + 914207*t^7 + 3741734*t^8 + 12638167*t^9 + 36300248*t^10 + 90284593*t^11 + 197531731*t^12 + 384302984*t^13 + 670899605*t^14 +

1057839714*t^15 + 1514398168*t^16 + 1975782327*t^17 + 2355691682*t^18 + 2571102793*t^19.

CROSSREFS

Sequence in context: A106412 A329497 A058476 * A023812 A062813 A024231

Adjacent sequences: A099745 A099746 A099747 * A099749 A099750 A099751

KEYWORD

nonn

AUTHOR

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

STATUS

approved