A092201 Molien series for 16-dimensional group of structure O_{4}^{+}(2) and order 72, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4).

1, 3, 11, 38, 127, 396, 1179, 3297, 8746, 22002, 52730, 120770, 265416, 561440, 1146924, 2268970, 4358413, 8147638, 14854450, 26461264, 46135068, 78845138, 132262964, 218050742, 353688548, 565028243, 889832807, 1382620648, 2121243721, 3215727006

Offset

0,2

Links

Table of n, a(n) for n=0..29.

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 u1 := f0 + x^30*subs(x=x^(-1), f0); f0 := 1 + 10*x^3 + 25*x^4 + 53*x^5 + 121*x^6 + 247*x^7 + 471*x^8 + 803*x^9 + 1201*x^10 + 1674*x^11 + 2182*x^12 + 2616*x^13 + 2911*x^14 + 1509*x^15; u2 := (1-x)^3*(1-x^2)^5*(1-x^3)^3*(1-x^4)^3*(1-x^6)^2.

Crossrefs

Cf. A092203.

Sequence in context: A129962 A026361 A006189 * A273526 A026943 A307571

Adjacent sequences: A092198 A092199 A092200 * A092202 A092203 A092204

Keyword

nonn

Author

N. J. A. Sloane, Apr 02 2004

Status

approved