%I A029751
%S A029751 1,8,248,1952,7928,25008,60512,134464,253688,474344,775248,1288416,
%T A029751 1934432,2970352,4168384,6101952,8118008,11358864,14704664,19808800,
%U A029751 24782928,32809216,39940896,51490752,61899872,78150008,92080912
%N A029751 Average theta series of odd unimodular lattices in dimension 12.
%C A029751 A000145(n)=a(n)+16*A000735(n). - Michael Somos Sep 21 2005
%D A029751 R. A. Rankin, Modular Forms, p. 240 ff.
%D A029751 E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, 
               NY, 1985, p. 121.
%F A029751 G.f.: 1 + 8*Sum_{k>0} k^5 x^k/(1+(-x)^k). - Michael Somos Sep 21 2005
%o A029751 (PARI) a(n)=if(n<1, n==0, (-1)^(n-1)*8*sumdiv(n,d,(-1)^(n+n/d)*d^5)) 
               /* Michael Somos Sep 21 2005 */
%Y A029751 Sequence in context: A062481 A053089 A090241 this_sequence A035036 A138323 
               A162132
%Y A029751 Adjacent sequences: A029748 A029749 A029750 this_sequence A029752 A029753 
               A029754
%K A029751 nonn
%O A029751 0,2
%A A029751 N. J. A. Sloane (njas(AT)research.att.com).