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A212064 Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x*y*z.

%I A212064 #10 Dec 04 2016 19:46:29
%S A212064 0,1,8,31,87,185,353,605,978,1471,2123,2958,4028,5308,6864,8733,10947,
%T A212064 13491,16452,19837,23711,28047,32929,38376,44498,51181,58569,66699,
%U A212064 75588,85260,95808,107202,119569,132821,147102,162427,178898
%N A212064 Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x*y*z.
%C A212064 a(n)+A212063(n)=n^4.  For a guide to related sequences, see A211795.
%t A212064 t = Compile[{{n, _Integer}}, Module[{s = 0},
%t A212064 (Do[If[w^2 >= x*y*z, s = s + 1],
%t A212064 {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
%t A212064 Map[t[#] &, Range[0, 50]] (* A212064 *)
%t A212064 (* _Peter J. C. Moses_, Apr 13 2012 *)
%Y A212064 Cf. A211795.
%K A212064 nonn
%O A212064 0,3
%A A212064 _Clark Kimberling_, Apr 30 2012