A027672 Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.
1, 0, 1, 1, 2, 3, 7, 7, 19, 27, 52, 87, 172, 279, 550, 960, 1782, 3183, 5845, 10288, 18508, 32284, 56345, 96473, 164157, 274194, 454518, 741321, 1196924, 1906123, 3003750, 4673470, 7198311, 10959836, 16523847, 24654860, 36447873, 53369530, 77478005, 111498073
Offset: 0
Examples
1+x^8+x^12+2*x^16+3*x^20+7*x^24+7*x^28+19*x^32+27*x^36+O(x^40).
Links
- Ray Chandler, Table of n, a(n) for n = 0..1000
- 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.
- Bernhard Runge, On Siegel modular forms, part II, Nagoya Math. J. 138, 179-197 (1995).
- Index entries for linear recurrences with constant coefficients, order 168.
- Index entries for Molien series
- Index entries for sequences related to modular groups
Programs
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Mathematica
(* See link for Mathematica program. *)
Formula
Oura gives an explicit formula for the Molien series.