A144060 Expansion of Molien series for the ring of genus 5 code polynomials for Type II codes.
1, 0, 1, 0, 2, 2, 8, 8, 34, 60, 203, 553, 2063, 7359, 30811, 127416, 541644, 2235677, 8966371, 34413747, 126465849, 443858877, 1490702752, 4796609651, 14821521743, 44071296447, 126388352322, 350298687803, 940211047828, 2448320130626, 6196158876181
Offset: 0
Keywords
Examples
1 + x^8 + 2*x^16 + 2*x^20 + 8*x^24 + 8*x^28 + 34*x^32 + 60*x^36 + 203*x^40 + 553*x^44 + 2063*x^48 + 7359*x^52 + 30811*x^56 + 127416*x^60 + 541644*x^64 + 2235677*x^68 + 8966371*x^72 + 34413747*x^76 + 126465849*x^80 + 443858877*x^84 + 1490702752*x^88 + 4796609651*x^92 + 14821521743*x^96 + .....
Links
- Ray Chandler, Table of n, a(n) for n = 0..2000
- Ray Chandler, Mathematica program
- G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
- M. Oura, The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.
- M. Oura, The dimension formula of the invariant ring of H5 (web archive).
- Index entries for linear recurrences with constant coefficients, order 532.
Programs
-
Mathematica
(* See link for Mathematica program. *)
Formula
Oura (see link) gives the Molien series explicitly.
Extensions
More terms from Ray Chandler, Mar 23 2017