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, 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

Offset

0,2

Links

Table of n, a(n) for n=0..28.

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 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

Adjacent sequences: A092493 A092494 A092495 * A092497 A092498 A092499

Keyword

nonn

Author

N. J. A. Sloane, Apr 05 2004

Status

approved