%I A051462
%S A051462 1,4,11,25,48,83,133,200,287,397,532,695,889,1116,1379,1681,2024,
%T A051462 2411,2845,3328,3863,4453,5100,5807,6577,7412,8315,9289,10336,11459,
%U A051462 12661,13944,15311,16765,18308,19943,21673,23500,25427,27457,29592
%N A051462 Molien series for group G_{1,2}^{8} of order 1536.
%C A051462 This is the Clifford-Weil group for complete weight enumerators of codes 
               over Z/4Z of Type 4_{II}^Z.
%H A051462 T. D. Noe, <a href="b051462.txt">Table of n, a(n) for n=0..1000</a>
%H A051462 E. Bannai, S. T. Dougherty, M. Harada and M. Oura, <a href="http://academic.uofs.edu/
               faculty/Doughertys1/publ.htm">Type II Codes, Even Unimodular Lattices 
               and Invariant Rings</a>, IEEE Trans. Information Theory, Volume 45, 
               Number 4, 1999, 1194-1205.
%H A051462 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. [Eq. (8.2.18), p. 233.]
%H A051462 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%F A051462 Third differences are periodic with period 3.
%F A051462 a(n) = 1 + n + 2n^2 + 3[(n + 2)((n-1)^2)/18] + 2[(n + 1)((n-2)^2)/18] 
               + 3[n((n-3)^2)/18] (where [..] denotes the floor function) - John 
               W. Layman (layman(AT)math.vt.edu), Nov 22 2000
%p A051462 (1+x)*(1+x^2)^2/((1-x)^3*(1-x^3));
%Y A051462 Sequence in context: A159349 A115294 A110610 this_sequence A006004 A006522 
               A036837
%Y A051462 Adjacent sequences: A051459 A051460 A051461 this_sequence A051463 A051464 
               A051465
%K A051462 nonn,easy,nice
%O A051462 0,2
%A A051462 N. J. A. Sloane (njas(AT)research.att.com).