A092355 Molien series for complete weight enumerators of Hermitian self-dual codes over GF(9) containing the all-ones vector.

1, 2, 30, 253, 1513, 6680, 23674, 70739, 185783, 440099, 959183, 1951458, 3747763, 6852485, 12011242, 20294154, 33201386, 52791028, 81834899, 124002727, 184083863, 268242704, 384320057, 542178613, 754101570, 1035243711, 1404149493, 1883329876

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.

Formula

G.f. = f/g, where

f = 1 + 24*x^12 + 192*x^18 + 958*x^24 + 3250*x^30 + 8190*x^36 + 15866*x^42

+ 24729*x^48 + 31531*x^54 + 33133*x^60 + 28819*x^66 + 20586*x^72

+ 11829*x^78 + 5304*x^84 + 1779*x^90 + 386*x^96 + 46*x^102 + x^108; and

g = (1-x^6)^2*(1-x^12)^3*(1-x^18)^3*(1-x^24).

Crossrefs

Sequence in context: A154413 A007030 A157054 * A215237 A379567 A189103

Adjacent sequences: A092352 A092353 A092354 * A092356 A092357 A092358

Keyword

nonn

Author

N. J. A. Sloane, Mar 20 2004

Status

approved