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%I #24 Jan 06 2017 11:37:19
%S 1,0,1,1,2,3,7,7,19,27,52,87,172,279,550,960,1782,3183,5845,10288,
%T 18508,32284,56345,96473,164157,274194,454518,741321,1196924,1906123,
%U 3003750,4673470,7198311,10959836,16523847,24654860,36447873,53369530
%N Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.
%H Ray Chandler, <a href="/A027672/b027672.txt">Table of n, a(n) for n = 0..1000</a>
%H Ray Chandler, <a href="/A027672/a027672.txt">Mathematica program</a>
%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.
%H M. Oura, <a href="http://projecteuclid.org/euclid.ojm/1200787332">The dimension formula for the ring of code polynomials in genus 4</a>, Osaka J. Math. 34 (1997), 53-72.
%H Bernhard Runge, <a href="http://projecteuclid.org/euclid.nmj/1118775400">On Siegel modular forms, part II</a>, Nagoya Math. J. 138, 179-197 (1995).
%H <a href="/index/Rec#order_168">Index entries for linear recurrences with constant coefficients</a>, order 168.
%H <a href="/index/Mo#Molien">Index entries for Molien series</a>
%H <a href="/index/Gre#groups_modular">Index entries for sequences related to modular groups</a>
%F Oura gives an explicit formula for the Molien series.
%e 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).
%t See link for Mathematica program.
%Y Cf. A027633, A027638, A051354.
%K nonn,nice,easy
%O 0,5
%A _N. J. A. Sloane_
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