Search: id:A027672
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%I A027672
%S A027672 1,0,1,1,2,3,7,7,19,27,52,87,172,279,550,960,1782,3183,5845,10288,
%T A027672 18508,32284,56345,96473,164157,274194,454518,741321,1196924,1906123,
%U A027672 3003750,4673470,7198311,10959836,16523847,24654860,36447873,53369530
%N A027672 Molien series for unitary 16-dimensional full Siegel modular group H_4 
               of order 48514675507200.
%D A027672 M. Oura (ohura(AT)math.kyushu-u.ac.jp), The dimension formula for the 
               ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.
%D A027672 B. Runge, On Siegel modular forms II, Nagoya Math. J., 138 (1995), 179-197.
%H A027672 G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.att.com/
               ~njas/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, 
               Springer, Berlin, 2006.
%H A027672 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%H A027672 <a href="Sindx_Gre.html#groups_modular">Index entries for sequences related 
               to modular groups</a>
%F A027672 Oura gives an explicit formula for the Molien series.
%e A027672 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).
%Y A027672 Cf. A027633, A027638, A051354.
%Y A027672 Sequence in context: A011372 A104955 A011161 this_sequence A104138 A083809 
               A092967
%Y A027672 Adjacent sequences: A027669 A027670 A027671 this_sequence A027673 A027674 
               A027675
%K A027672 nonn,nice,easy
%O A027672 0,5
%A A027672 N. J. A. Sloane (njas(AT)research.att.com).

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