A100024 Molien series for complete weight enumerators of trace-additive Hermitian self-dual codes over the Galois ring GR(4,2).

1, 7, 46, 237, 1056, 4071, 13986, 43461, 124146, 329681, 822074, 1939691, 4359264, 9381561, 19422294, 38828715, 75208515, 141537930, 259444020, 464210670, 812292096, 1392398634, 2341628076, 3868602654, 6286255716, 10057721934, 15859890444, 24670480954

Offset

0,2

Links

Table of n, a(n) for n=0..27.

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 := 1 + 9*t^2 + 27*t^3 + 27*t^4 + 27*t^5 + 27*t^6 + 9*t^7 + t^9, u2 := (1-t)^7*(1-t^2)^9.

Mathematica

CoefficientList[Series[(1+9x^2+27x^3+27x^4+27x^5+27x^6+9x^7+x^9)/((1-x)^7 (1-x^2)^9), {x, 0, 30}], x]  (* Harvey P. Dale, Apr 13 2022 *)

Crossrefs

Sequence in context: A347508 A175909 A034471 * A171010 A258630 A264201

Adjacent sequences: A100021 A100022 A100023 * A100025 A100026 A100027

Keyword

nonn

Author

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

Status

approved