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%I #10 Oct 10 2015 12:48:13
%S 1,4,7,8,9,11,12,12,13,16,19,20,21,22,22,22,24,29,32,32,33,34,34,34,
%T 36,40,43,45,48,49,49,50,52,55,56,56,58,61,62,62,63,64,65,67,70,71,71,
%U 72,72,74,76,77,80,82,82,82,82,83,84,85,86,86,86,87,89,92,94,94,96,97,97
%N Expansion of (Sum_{i>=0} x^(i^2)) * (Sum_{j>=0} x^(j^3)) * (Sum_{k>=0} x^(k^4)) / (1-x).
%C a(n) is number of nonnegative integer solutions (x,x,z,u) such that x + y^2 + z^3 + u^4 = n.
%F G.f.: (Sum_{i>=0} x^(i^2)) * (Sum_{j>=0} x^(j^3)) * (Sum_{k>=0} x^(k^4)) / (1-x).
%Y Cf. A003059, A262872.
%K nonn
%O 0,2
%A _Ran Pan_, Oct 03 2015
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