Search: id:A046113
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%I A046113
%S A046113 1,2,0,0,2,0,2,4,0,2,4,0,0,0,0,4,2,0,0,0,0,0,4,0,2,6,0,0,4,0,0,
%T A046113 4,0,4,0,0,2,0,0,0,4,0,4,0,0,0,0,0,0,6,0,0,0,0,2,8,0,0,4,0,4,0,
%U A046113 0,4,2,0,0,0,0,0,8,0,0,4,0,0,0,0,0,4,0,2,0,0,0,0,0,4,4,0,4,0,0
%N A046113 Coefficients in expansion of theta_3(q) * theta_3(q^6).
%C A046113 Number of representations of n as a sum of six times a square and a square. 
               - Ralf Stephan, May 14 2007
%D A046113 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", 
               Springer-Verlag, p 102 eq 9.
%H A046113 A. Berkovich and H. Yesilyurt, <a href="http://arXiv.org/abs/math.NT/
               0611300">Ramanujan's identities and representation of integers by 
               certain binary and quaternary quadratic forms</a>
%F A046113 Coefficients in expansion of Sum_{ i, j = -inf .. inf } q^(i^2+6*j^2).
%Y A046113 Sequence in context: A110036 A086937 A095759 this_sequence A143068 A028959 
               A079181
%Y A046113 Adjacent sequences: A046110 A046111 A046112 this_sequence A046114 A046115 
               A046116
%K A046113 nonn
%O A046113 0,2
%A A046113 N. J. A. Sloane (njas(AT)research.att.com), May 18 2002

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