A092548 Molien series for complete weight enumerators of self-dual codes over GF(4) + GF(4)u with u^2 = 0.

1, 1, 9, 9, 95, 149, 885, 1605, 6503, 12606, 39246, 76038, 197714, 374388, 855636, 1568124, 3255072, 5763394, 11104514, 19011234, 34512454, 57257488, 98996384, 159553376, 264837633, 415717413, 666507493, 1021374333, 1589253369, 2382741813, 3611920261

Offset

0,3

Links

Table of n, a(n) for n=0..30.

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 u2 := (1-x^2)^5*(1-x^3)*(1-x^4)^6*(1-x^6)^4;

u1 := 1 + x + 4*x^2 + 3*x^3 + 53*x^4 + 104*x^5 + 458*x^6 + 858*x^7 + 2474*x^8 + 4839*x^9 + 10667*x^10 + 19018*x^11 + 34193*x^12 + 55481*x^13 + 86078*x^14 + 125990*x^15 + 173466*x^16 + 230402*x^17 + 287430*x^18 + 346462*x^19

+ 393648*x^20 + 431930*x^21 + 450648*x^22 + 450648*x^23 + 431930*x^24 + 393648*x^25 + 346462*x^26 + 287430*x^27 + 230402*x^28 + 173466*x^29 + 125990*x^30 + 86078*x^31 + 55481*x^32 + 34193*x^33 + 19018*x^34 + 10667*x^35 + 4839*x^36 + 2474*x^37 + 858*x^38 + 458*x^39 + 104*x^40 + 53*x^41 + 3*x^42 + 4*x^43 + x^44 + x^45.

Crossrefs

Cf. A092549.

Sequence in context: A165427 A050683 A210095 * A121389 A065242 A050720

Adjacent sequences: A092545 A092546 A092547 * A092549 A092550 A092551

Keyword

nonn

Author

N. J. A. Sloane, Apr 09 2004

Status

approved