A100024 - OEIS

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

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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