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

Offset

0,5

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.

Formula

Oura (see link) gives the Molien series explicitly.

Example

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 + .....

Mathematica

See link for Mathematica program.

Crossrefs

Cf. A027672, A051354.

Sequence in context: A007083 A281019 A325513 * A230928 A016119 A037223

Adjacent sequences: A144057 A144058 A144059 * A144061 A144062 A144063

Keyword

nonn

Author

N. J. A. Sloane, Dec 22 2008, following a suggestion from G. Nebe.

Extensions

More terms from Ray Chandler, Mar 23 2017

Status

approved