Search: id:A034896
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%I A034896
%S A034896 1,4,4,4,20,24,4,32,52,4,24,48,20,56,32,24,116,72,4,80,120,32,48,96,52,
%T A034896 124,56,4,160,120,24,128,244,48,72,192,20,152,80,56,312,168,32,176,240,
%U A034896 24,96,192,116,228,124,72,280,216,4,288,416,80,120,240,120,248,128,32,
               500
%N A034896 Number of solutions to a^2+b^2+3*c^2+3*d^2=n.
%D A034896 L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 
               256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see 
               vol. 3, p. 229.
%D A034896 N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. 
               Soc., 1988; p. 79, Eq. (32.3), p. 76, Eq. (31.43).
%H A034896 Michael Gilleland, <a href="selfsimilar.html">Some Self-Similar Integer 
               Sequences</a>
%F A034896 Expansion of theta_3(q)^2*theta_3(q^3)^2.
%F A034896 G.f.: s(2)^10*s(6)^10/(s(1)*s(3)*s(4)*s(12))^4, where s(k) := subs(q=q^k, 
               eta(q)) and eta(q) is Dedekind's function, cf. A010815. [Fine]
%F A034896 Fine gives an explicit formula for a(n) in terms of the divisors of n.
%Y A034896 Sequence in context: A141666 A102127 A131946 this_sequence A120914 A024949 
               A059812
%Y A034896 Adjacent sequences: A034893 A034894 A034895 this_sequence A034897 A034898 
               A034899
%K A034896 nonn
%O A034896 0,2
%A A034896 N. J. A. Sloane (njas(AT)research.att.com).

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