%I A004024 M3227
%S A004024 4,4,8,12,4,12,12,12,16,16,8,8,28,12,20,24,8,16,28,12,16,28,20,32,20,16,
%T A004024 16,32,20,24,28,8,36,44,12,32,36,16,24,20,28,20,56,28,16,40,20,40,44,12,
%U A004024 36,40,20,32,40,16,24,60,32,36,40,24,32,60,24,40,24,20,60,36,24,32,56,
               32
%N A004024 Theta series of b.c.c. lattice with respect to deep hole.
%D A004024 Ono and Skinner, Ann. Math., 147 (1998), 453-470.
%D A004024 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A004024 N. J. A. Sloane and B. K. Teo, Theta series and magic numbers for close-packed 
               spherical clusters, J. Chem. Phys. 83 (1985) 6520-6534.
%H A004024 T. D. Noe, <a href="b004024.txt">Table of n, a(n) for n=0..1000</a>
%H A004024 G. Nebe and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/
               lattices/Ds3.html">Home page for this lattice</a>
%H A004024 <a href="Sindx_Ba.html#bcc">Index entries for sequences related to b.c.c. 
               lattice</a>
%F A004024 4*eta(32z)^4/eta(8z) = 4*Sum q^(x^2+2y^2+2z^2), x, y, z >= 1 and odd.
%Y A004024 4*A045831.
%Y A004024 Sequence in context: A046558 A014687 A152967 this_sequence A086663 A003829 
               A002368
%Y A004024 Adjacent sequences: A004021 A004022 A004023 this_sequence A004025 A004026 
               A004027
%K A004024 nonn,easy,nice
%O A004024 0,1
%A A004024 N. J. A. Sloane (njas(AT)research.att.com).