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A100024 Molien series for complete weight enumerators of trace-additive Hermitian self-dual codes over the Galois ring GR(4,2). 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
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
KEYWORD
nonn
AUTHOR
G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)