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A092355 Molien series for complete weight enumerators of Hermitian self-dual codes over GF(9) containing the all-ones vector. 0
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 (list; graph; refs; listen; history; text; internal format)
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 A189103 A300423

Adjacent sequences:  A092352 A092353 A092354 * A092356 A092357 A092358

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 20 2004

STATUS

approved

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Last modified October 3 17:29 EDT 2022. Contains 357237 sequences. (Running on oeis4.)