A092354 Molien series for complete weight enumerators of Hermitian self-dual codes over GF(9).

1, 2, 8, 41, 158, 494, 1396, 3483, 7887, 16656, 32978, 61796, 110805, 190899, 317535, 512620, 805407, 1234930, 1853318, 2727241, 3942003, 5606725, 7856671, 10859471, 14822922, 19998333, 26689677, 35264602, 46159229, 59890851, 77073115, 98422454

Offset

0,2

Links

Table of n, a(n) for n=0..31.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Formula

G.f. = f/g where

f = 1 + 3*x^4 + 24*x^6 + 74*x^8 + 156*x^10 + 321*x^12 + 525*x^14 + 705*x^16

+ 905*x^18 + 989*x^20 + 931*x^22 + 837*x^24 + 640*x^26 + 406*x^28

+ 243 *x^30 + 111*x^32 + 31*x^34 + 9*x^36 + x^38;

g = (1-x^2)^2*(1-x^4)^2*(1-x^6)^3*(1-x^8)*(1-x^12).

Crossrefs

Sequence in context: A351109 A012597 A012534 * A254399 A375445 A337753

Adjacent sequences: A092351 A092352 A092353 * A092355 A092356 A092357

Keyword

nonn

Author

N. J. A. Sloane, Mar 20 2004

Status

approved