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A092496 Molien series for 16-dimensional group of structure S_3 and order 6, corresponding to complete weight enumerators of Hermitian self-dual GF(4)-linear codes over GF(16). 1
1, 5, 31, 160, 706, 2716, 9331, 28981, 82771, 219806, 548068, 1293146, 2906218, 6254416, 12948238, 25885894, 50139094, 94358704, 172962834, 309473934, 541528218, 928266020, 1561085648, 2579068700, 4190837573, 6705148385, 10573260725, 16446987970, 25257491270 (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 f := 1 + 10*x^2 + 40*x^3 + 90*x^4 + 180*x^5 + 340*x^6 + 420*x^7 + 215*x^8; u1 := f+x^16*subs(x=1/x, f); u2 := (1-x)^5*(1-x^2)^6*(1-x^3)^5;
CROSSREFS
Cf. A092497.
Sequence in context: A047109 A293028 A165610 * A045904 A034353 A294722
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 05 2004
STATUS
approved

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Last modified July 25 04:49 EDT 2024. Contains 374586 sequences. (Running on oeis4.)